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Finding the Fourth Proportional to 3,617.58, 5,416.10 and 2,381.26

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Solution

The fourth proportional to 3,617.58, 5,416.10 and 2,381.26 is: 3,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.58 : 5,416.10 = 2,381.26 : x
  2. Step 2: Convert to fraction form
    3,617.58/5,416.10 = 2,381.26/x
  3. Step 3: Cross multiply
    3,617.58x = 5,416.10 × 2,381.26
  4. Step 4: Simplify right side
    3,617.58x = 12,897,142.29
  5. Step 5: Solve for x
    x = 12,897,142.29/3,617.58
  6. Step 6: Final answer
    x = 3,565.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.