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Finding the Fourth Proportional to 4,658.77, 6,428.52 and 3,149.62

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Solution

The fourth proportional to 4,658.77, 6,428.52 and 3,149.62 is: 4,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.77 : 6,428.52 = 3,149.62 : x
  2. Step 2: Convert to fraction form
    4,658.77/6,428.52 = 3,149.62/x
  3. Step 3: Cross multiply
    4,658.77x = 6,428.52 × 3,149.62
  4. Step 4: Simplify right side
    4,658.77x = 20,247,363.02
  5. Step 5: Solve for x
    x = 20,247,363.02/4,658.77
  6. Step 6: Final answer
    x = 4,346.07

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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.