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Finding the Fourth Proportional to 3,641.43, 5,460.26 and 1,300.53

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Solution

The fourth proportional to 3,641.43, 5,460.26 and 1,300.53 is: 1,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.43 : 5,460.26 = 1,300.53 : x
  2. Step 2: Convert to fraction form
    3,641.43/5,460.26 = 1,300.53/x
  3. Step 3: Cross multiply
    3,641.43x = 5,460.26 × 1,300.53
  4. Step 4: Simplify right side
    3,641.43x = 7,101,225.44
  5. Step 5: Solve for x
    x = 7,101,225.44/3,641.43
  6. Step 6: Final answer
    x = 1,950.12

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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.