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Finding the Fourth Proportional to 4,374.43, 6,564.80 and 2,152.78

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Solution

The fourth proportional to 4,374.43, 6,564.80 and 2,152.78 is: 3,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.43 : 6,564.80 = 2,152.78 : x
  2. Step 2: Convert to fraction form
    4,374.43/6,564.80 = 2,152.78/x
  3. Step 3: Cross multiply
    4,374.43x = 6,564.80 × 2,152.78
  4. Step 4: Simplify right side
    4,374.43x = 14,132,570.14
  5. Step 5: Solve for x
    x = 14,132,570.14/4,374.43
  6. Step 6: Final answer
    x = 3,230.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.