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Finding the Fourth Proportional to 4,909.59, 6,783.17 and 3,424.14

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Solution

The fourth proportional to 4,909.59, 6,783.17 and 3,424.14 is: 4,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.59 : 6,783.17 = 3,424.14 : x
  2. Step 2: Convert to fraction form
    4,909.59/6,783.17 = 3,424.14/x
  3. Step 3: Cross multiply
    4,909.59x = 6,783.17 × 3,424.14
  4. Step 4: Simplify right side
    4,909.59x = 23,226,519.91
  5. Step 5: Solve for x
    x = 23,226,519.91/4,909.59
  6. Step 6: Final answer
    x = 4,730.85

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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.