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Finding the Fourth Proportional to 5,665.96, 8,499.30 and 1,505.90

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Solution

The fourth proportional to 5,665.96, 8,499.30 and 1,505.90 is: 2,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.96 : 8,499.30 = 1,505.90 : x
  2. Step 2: Convert to fraction form
    5,665.96/8,499.30 = 1,505.90/x
  3. Step 3: Cross multiply
    5,665.96x = 8,499.30 × 1,505.90
  4. Step 4: Simplify right side
    5,665.96x = 12,799,095.87
  5. Step 5: Solve for x
    x = 12,799,095.87/5,665.96
  6. Step 6: Final answer
    x = 2,258.95

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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.