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Finding the Fourth Proportional to 5,737.60, 8,606.40 and 1,577.60

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Solution

The fourth proportional to 5,737.60, 8,606.40 and 1,577.60 is: 2,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.60 : 8,606.40 = 1,577.60 : x
  2. Step 2: Convert to fraction form
    5,737.60/8,606.40 = 1,577.60/x
  3. Step 3: Cross multiply
    5,737.60x = 8,606.40 × 1,577.60
  4. Step 4: Simplify right side
    5,737.60x = 13,577,456.64
  5. Step 5: Solve for x
    x = 13,577,456.64/5,737.60
  6. Step 6: Final answer
    x = 2,366.40

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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.