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Finding the Fourth Proportional to 4,658.47, 6,428.81 and 2,534.12

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Solution

The fourth proportional to 4,658.47, 6,428.81 and 2,534.12 is: 3,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.47 : 6,428.81 = 2,534.12 : x
  2. Step 2: Convert to fraction form
    4,658.47/6,428.81 = 2,534.12/x
  3. Step 3: Cross multiply
    4,658.47x = 6,428.81 × 2,534.12
  4. Step 4: Simplify right side
    4,658.47x = 16,291,363.33
  5. Step 5: Solve for x
    x = 16,291,363.33/4,658.47
  6. Step 6: Final answer
    x = 3,497.15

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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.