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Finding the Fourth Proportional to 4,654.64, 6,423.42 and 2,558.80

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Solution

The fourth proportional to 4,654.64, 6,423.42 and 2,558.80 is: 3,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.64 : 6,423.42 = 2,558.80 : x
  2. Step 2: Convert to fraction form
    4,654.64/6,423.42 = 2,558.80/x
  3. Step 3: Cross multiply
    4,654.64x = 6,423.42 × 2,558.80
  4. Step 4: Simplify right side
    4,654.64x = 16,436,247.10
  5. Step 5: Solve for x
    x = 16,436,247.10/4,654.64
  6. Step 6: Final answer
    x = 3,531.15

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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.