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Finding the Fourth Proportional to 4,165.20, 5,748.20 and 2,397.08

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Solution

The fourth proportional to 4,165.20, 5,748.20 and 2,397.08 is: 3,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.20 : 5,748.20 = 2,397.08 : x
  2. Step 2: Convert to fraction form
    4,165.20/5,748.20 = 2,397.08/x
  3. Step 3: Cross multiply
    4,165.20x = 5,748.20 × 2,397.08
  4. Step 4: Simplify right side
    4,165.20x = 13,778,854.53
  5. Step 5: Solve for x
    x = 13,778,854.53/4,165.20
  6. Step 6: Final answer
    x = 3,308.09

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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.