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Finding the Fourth Proportional to 4,164.39, 5,748.08 and 2,397.24

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Solution

The fourth proportional to 4,164.39, 5,748.08 and 2,397.24 is: 3,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.39 : 5,748.08 = 2,397.24 : x
  2. Step 2: Convert to fraction form
    4,164.39/5,748.08 = 2,397.24/x
  3. Step 3: Cross multiply
    4,164.39x = 5,748.08 × 2,397.24
  4. Step 4: Simplify right side
    4,164.39x = 13,779,527.30
  5. Step 5: Solve for x
    x = 13,779,527.30/4,164.39
  6. Step 6: Final answer
    x = 3,308.89

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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.