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Finding the Fourth Proportional to 5,761.02, 8,641.15 and 1,600.95

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Solution

The fourth proportional to 5,761.02, 8,641.15 and 1,600.95 is: 2,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.02 : 8,641.15 = 1,600.95 : x
  2. Step 2: Convert to fraction form
    5,761.02/8,641.15 = 1,600.95/x
  3. Step 3: Cross multiply
    5,761.02x = 8,641.15 × 1,600.95
  4. Step 4: Simplify right side
    5,761.02x = 13,834,028.89
  5. Step 5: Solve for x
    x = 13,834,028.89/5,761.02
  6. Step 6: Final answer
    x = 2,401.31

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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.