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Finding the Fourth Proportional to 4,658.14, 6,428.22 and 2,562.25

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Solution

The fourth proportional to 4,658.14, 6,428.22 and 2,562.25 is: 3,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.14 : 6,428.22 = 2,562.25 : x
  2. Step 2: Convert to fraction form
    4,658.14/6,428.22 = 2,562.25/x
  3. Step 3: Cross multiply
    4,658.14x = 6,428.22 × 2,562.25
  4. Step 4: Simplify right side
    4,658.14x = 16,470,706.70
  5. Step 5: Solve for x
    x = 16,470,706.70/4,658.14
  6. Step 6: Final answer
    x = 3,535.90

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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.