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Finding the Fourth Proportional to 3,639.79, 5,023.72 and 2,506.96

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Solution

The fourth proportional to 3,639.79, 5,023.72 and 2,506.96 is: 3,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.79 : 5,023.72 = 2,506.96 : x
  2. Step 2: Convert to fraction form
    3,639.79/5,023.72 = 2,506.96/x
  3. Step 3: Cross multiply
    3,639.79x = 5,023.72 × 2,506.96
  4. Step 4: Simplify right side
    3,639.79x = 12,594,265.09
  5. Step 5: Solve for x
    x = 12,594,265.09/3,639.79
  6. Step 6: Final answer
    x = 3,460.16

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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.