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Finding the Fourth Proportional to 6,416.41, 8,854.79 and 3,545.13

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Solution

The fourth proportional to 6,416.41, 8,854.79 and 3,545.13 is: 4,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.41 : 8,854.79 = 3,545.13 : x
  2. Step 2: Convert to fraction form
    6,416.41/8,854.79 = 3,545.13/x
  3. Step 3: Cross multiply
    6,416.41x = 8,854.79 × 3,545.13
  4. Step 4: Simplify right side
    6,416.41x = 31,391,381.67
  5. Step 5: Solve for x
    x = 31,391,381.67/6,416.41
  6. Step 6: Final answer
    x = 4,892.36

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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.