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Finding the Fourth Proportional to 4,578.55, 6,861.74 and 1,654.04

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Solution

The fourth proportional to 4,578.55, 6,861.74 and 1,654.04 is: 2,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.55 : 6,861.74 = 1,654.04 : x
  2. Step 2: Convert to fraction form
    4,578.55/6,861.74 = 1,654.04/x
  3. Step 3: Cross multiply
    4,578.55x = 6,861.74 × 1,654.04
  4. Step 4: Simplify right side
    4,578.55x = 11,349,601.31
  5. Step 5: Solve for x
    x = 11,349,601.31/4,578.55
  6. Step 6: Final answer
    x = 2,478.87

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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.