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Finding the Fourth Proportional to 4,242.48, 5,854.48 and 2,354.06

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Solution

The fourth proportional to 4,242.48, 5,854.48 and 2,354.06 is: 3,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.48 : 5,854.48 = 2,354.06 : x
  2. Step 2: Convert to fraction form
    4,242.48/5,854.48 = 2,354.06/x
  3. Step 3: Cross multiply
    4,242.48x = 5,854.48 × 2,354.06
  4. Step 4: Simplify right side
    4,242.48x = 13,781,805.94
  5. Step 5: Solve for x
    x = 13,781,805.94/4,242.48
  6. Step 6: Final answer
    x = 3,248.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.