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Finding the Fourth Proportional to 5,761.03, 8,641.54 and 3,294.12

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Solution

The fourth proportional to 5,761.03, 8,641.54 and 3,294.12 is: 4,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.03 : 8,641.54 = 3,294.12 : x
  2. Step 2: Convert to fraction form
    5,761.03/8,641.54 = 3,294.12/x
  3. Step 3: Cross multiply
    5,761.03x = 8,641.54 × 3,294.12
  4. Step 4: Simplify right side
    5,761.03x = 28,466,224.09
  5. Step 5: Solve for x
    x = 28,466,224.09/5,761.03
  6. Step 6: Final answer
    x = 4,941.17

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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.