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Finding the Fourth Proportional to 4,752.71, 7,130.22 and 3,349.86

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Solution

The fourth proportional to 4,752.71, 7,130.22 and 3,349.86 is: 5,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.71 : 7,130.22 = 3,349.86 : x
  2. Step 2: Convert to fraction form
    4,752.71/7,130.22 = 3,349.86/x
  3. Step 3: Cross multiply
    4,752.71x = 7,130.22 × 3,349.86
  4. Step 4: Simplify right side
    4,752.71x = 23,885,267.84
  5. Step 5: Solve for x
    x = 23,885,267.84/4,752.71
  6. Step 6: Final answer
    x = 5,025.61

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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.