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Finding the Fourth Proportional to 4,658.13, 6,424.96 and 3,064.27

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Solution

The fourth proportional to 4,658.13, 6,424.96 and 3,064.27 is: 4,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.13 : 6,424.96 = 3,064.27 : x
  2. Step 2: Convert to fraction form
    4,658.13/6,424.96 = 3,064.27/x
  3. Step 3: Cross multiply
    4,658.13x = 6,424.96 × 3,064.27
  4. Step 4: Simplify right side
    4,658.13x = 19,687,812.18
  5. Step 5: Solve for x
    x = 19,687,812.18/4,658.13
  6. Step 6: Final answer
    x = 4,226.55

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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.