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Finding the Fourth Proportional to 4,747.86, 7,124.34 and 2,439.36

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Solution

The fourth proportional to 4,747.86, 7,124.34 and 2,439.36 is: 3,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.86 : 7,124.34 = 2,439.36 : x
  2. Step 2: Convert to fraction form
    4,747.86/7,124.34 = 2,439.36/x
  3. Step 3: Cross multiply
    4,747.86x = 7,124.34 × 2,439.36
  4. Step 4: Simplify right side
    4,747.86x = 17,378,830.02
  5. Step 5: Solve for x
    x = 17,378,830.02/4,747.86
  6. Step 6: Final answer
    x = 3,660.35

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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.