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Finding the Fourth Proportional to 3,723.79, 5,138.10 and 2,397.30

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Solution

The fourth proportional to 3,723.79, 5,138.10 and 2,397.30 is: 3,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.79 : 5,138.10 = 2,397.30 : x
  2. Step 2: Convert to fraction form
    3,723.79/5,138.10 = 2,397.30/x
  3. Step 3: Cross multiply
    3,723.79x = 5,138.10 × 2,397.30
  4. Step 4: Simplify right side
    3,723.79x = 12,317,567.13
  5. Step 5: Solve for x
    x = 12,317,567.13/3,723.79
  6. Step 6: Final answer
    x = 3,307.81

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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.