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Finding the Fourth Proportional to 4,242.09, 5,854.10 and 2,353.71

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Solution

The fourth proportional to 4,242.09, 5,854.10 and 2,353.71 is: 3,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.09 : 5,854.10 = 2,353.71 : x
  2. Step 2: Convert to fraction form
    4,242.09/5,854.10 = 2,353.71/x
  3. Step 3: Cross multiply
    4,242.09x = 5,854.10 × 2,353.71
  4. Step 4: Simplify right side
    4,242.09x = 13,778,853.71
  5. Step 5: Solve for x
    x = 13,778,853.71/4,242.09
  6. Step 6: Final answer
    x = 3,248.13

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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.