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Finding the Fourth Proportional to 4,166.72, 5,748.42 and 2,397.37

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Solution

The fourth proportional to 4,166.72, 5,748.42 and 2,397.37 is: 3,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.72 : 5,748.42 = 2,397.37 : x
  2. Step 2: Convert to fraction form
    4,166.72/5,748.42 = 2,397.37/x
  3. Step 3: Cross multiply
    4,166.72x = 5,748.42 × 2,397.37
  4. Step 4: Simplify right side
    4,166.72x = 13,781,089.66
  5. Step 5: Solve for x
    x = 13,781,089.66/4,166.72
  6. Step 6: Final answer
    x = 3,307.42

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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.