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Finding the Fourth Proportional to 5,706.60, 8,551.68 and 2,415.17

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Solution

The fourth proportional to 5,706.60, 8,551.68 and 2,415.17 is: 3,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.60 : 8,551.68 = 2,415.17 : x
  2. Step 2: Convert to fraction form
    5,706.60/8,551.68 = 2,415.17/x
  3. Step 3: Cross multiply
    5,706.60x = 8,551.68 × 2,415.17
  4. Step 4: Simplify right side
    5,706.60x = 20,653,706.15
  5. Step 5: Solve for x
    x = 20,653,706.15/5,706.60
  6. Step 6: Final answer
    x = 3,619.27

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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.