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Finding the Fourth Proportional to 5,039.86, 7,559.81 and 1,529.90

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Solution

The fourth proportional to 5,039.86, 7,559.81 and 1,529.90 is: 2,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039.86 : 7,559.81 = 1,529.90 : x
  2. Step 2: Convert to fraction form
    5,039.86/7,559.81 = 1,529.90/x
  3. Step 3: Cross multiply
    5,039.86x = 7,559.81 × 1,529.90
  4. Step 4: Simplify right side
    5,039.86x = 11,565,753.32
  5. Step 5: Solve for x
    x = 11,565,753.32/5,039.86
  6. Step 6: Final answer
    x = 2,294.86

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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.