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Finding the Fourth Proportional to 6,363.50, 8,781.63 and 3,569

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Solution

The fourth proportional to 6,363.50, 8,781.63 and 3,569 is: 4,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.50 : 8,781.63 = 3,569 : x
  2. Step 2: Convert to fraction form
    6,363.50/8,781.63 = 3,569/x
  3. Step 3: Cross multiply
    6,363.50x = 8,781.63 × 3,569
  4. Step 4: Simplify right side
    6,363.50x = 31,341,637.47
  5. Step 5: Solve for x
    x = 31,341,637.47/6,363.50
  6. Step 6: Final answer
    x = 4,925.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.