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Finding the Fourth Proportional to 6,197.76, 8,553 and 3,545.34

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Solution

The fourth proportional to 6,197.76, 8,553 and 3,545.34 is: 4,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.76 : 8,553 = 3,545.34 : x
  2. Step 2: Convert to fraction form
    6,197.76/8,553 = 3,545.34/x
  3. Step 3: Cross multiply
    6,197.76x = 8,553 × 3,545.34
  4. Step 4: Simplify right side
    6,197.76x = 30,323,293.02
  5. Step 5: Solve for x
    x = 30,323,293.02/6,197.76
  6. Step 6: Final answer
    x = 4,892.62

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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.