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Finding the Fourth Proportional to 5,011.76, 7,509.42 and 3,342.80

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Solution

The fourth proportional to 5,011.76, 7,509.42 and 3,342.80 is: 5,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.76 : 7,509.42 = 3,342.80 : x
  2. Step 2: Convert to fraction form
    5,011.76/7,509.42 = 3,342.80/x
  3. Step 3: Cross multiply
    5,011.76x = 7,509.42 × 3,342.80
  4. Step 4: Simplify right side
    5,011.76x = 25,102,489.18
  5. Step 5: Solve for x
    x = 25,102,489.18/5,011.76
  6. Step 6: Final answer
    x = 5,008.72

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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.