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Finding the Fourth Proportional to 4,909.53, 6,772.20 and 3,141.09

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Solution

The fourth proportional to 4,909.53, 6,772.20 and 3,141.09 is: 4,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.53 : 6,772.20 = 3,141.09 : x
  2. Step 2: Convert to fraction form
    4,909.53/6,772.20 = 3,141.09/x
  3. Step 3: Cross multiply
    4,909.53x = 6,772.20 × 3,141.09
  4. Step 4: Simplify right side
    4,909.53x = 21,272,089.70
  5. Step 5: Solve for x
    x = 21,272,089.70/4,909.53
  6. Step 6: Final answer
    x = 4,332.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.