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Finding the Fourth Proportional to 4,242.34, 5,854.48 and 2,353.96

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Solution

The fourth proportional to 4,242.34, 5,854.48 and 2,353.96 is: 3,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.34 : 5,854.48 = 2,353.96 : x
  2. Step 2: Convert to fraction form
    4,242.34/5,854.48 = 2,353.96/x
  3. Step 3: Cross multiply
    4,242.34x = 5,854.48 × 2,353.96
  4. Step 4: Simplify right side
    4,242.34x = 13,781,211.74
  5. Step 5: Solve for x
    x = 13,781,211.74/4,242.34
  6. Step 6: Final answer
    x = 3,248.49

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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.