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Finding the Fourth Proportional to 3,378.70, 4,666.17 and 2,584.90

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Solution

The fourth proportional to 3,378.70, 4,666.17 and 2,584.90 is: 3,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.70 : 4,666.17 = 2,584.90 : x
  2. Step 2: Convert to fraction form
    3,378.70/4,666.17 = 2,584.90/x
  3. Step 3: Cross multiply
    3,378.70x = 4,666.17 × 2,584.90
  4. Step 4: Simplify right side
    3,378.70x = 12,061,582.83
  5. Step 5: Solve for x
    x = 12,061,582.83/3,378.70
  6. Step 6: Final answer
    x = 3,569.89

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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.