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Finding the Fourth Proportional to 4,242.94, 5,854.71 and 2,354.52

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Solution

The fourth proportional to 4,242.94, 5,854.71 and 2,354.52 is: 3,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.94 : 5,854.71 = 2,354.52 : x
  2. Step 2: Convert to fraction form
    4,242.94/5,854.71 = 2,354.52/x
  3. Step 3: Cross multiply
    4,242.94x = 5,854.71 × 2,354.52
  4. Step 4: Simplify right side
    4,242.94x = 13,785,031.79
  5. Step 5: Solve for x
    x = 13,785,031.79/4,242.94
  6. Step 6: Final answer
    x = 3,248.93

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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.