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Finding the Fourth Proportional to 3,607.64, 5,411.31 and 1,416.23

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Solution

The fourth proportional to 3,607.64, 5,411.31 and 1,416.23 is: 2,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.64 : 5,411.31 = 1,416.23 : x
  2. Step 2: Convert to fraction form
    3,607.64/5,411.31 = 1,416.23/x
  3. Step 3: Cross multiply
    3,607.64x = 5,411.31 × 1,416.23
  4. Step 4: Simplify right side
    3,607.64x = 7,663,677.92
  5. Step 5: Solve for x
    x = 7,663,677.92/3,607.64
  6. Step 6: Final answer
    x = 2,124.29

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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.