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Finding the Fourth Proportional to 5,665.60, 8,490.64 and 4,277.76

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Solution

The fourth proportional to 5,665.60, 8,490.64 and 4,277.76 is: 6,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.60 : 8,490.64 = 4,277.76 : x
  2. Step 2: Convert to fraction form
    5,665.60/8,490.64 = 4,277.76/x
  3. Step 3: Cross multiply
    5,665.60x = 8,490.64 × 4,277.76
  4. Step 4: Simplify right side
    5,665.60x = 36,320,920.17
  5. Step 5: Solve for x
    x = 36,320,920.17/5,665.60
  6. Step 6: Final answer
    x = 6,410.78

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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.