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Finding the Fourth Proportional to 4,938.51, 7,407.09 and 1,651.53

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Solution

The fourth proportional to 4,938.51, 7,407.09 and 1,651.53 is: 2,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.51 : 7,407.09 = 1,651.53 : x
  2. Step 2: Convert to fraction form
    4,938.51/7,407.09 = 1,651.53/x
  3. Step 3: Cross multiply
    4,938.51x = 7,407.09 × 1,651.53
  4. Step 4: Simplify right side
    4,938.51x = 12,233,031.35
  5. Step 5: Solve for x
    x = 12,233,031.35/4,938.51
  6. Step 6: Final answer
    x = 2,477.07

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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.