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Finding the Fourth Proportional to 5,301,689.48, 7,952,375.65 and 1,463,745.81

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Solution

The fourth proportional to 5,301,689.48, 7,952,375.65 and 1,463,745.81 is: 2,195,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301,689.48 : 7,952,375.65 = 1,463,745.81 : x
  2. Step 2: Convert to fraction form
    5,301,689.48/7,952,375.65 = 1,463,745.81/x
  3. Step 3: Cross multiply
    5,301,689.48x = 7,952,375.65 × 1,463,745.81
  4. Step 4: Simplify right side
    5,301,689.48x = 11,640,256,537,233.53
  5. Step 5: Solve for x
    x = 11,640,256,537,233.53/5,301,689.48
  6. Step 6: Final answer
    x = 2,195,574.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.