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Finding the Fourth Proportional to 3,494.72, 5,242.08 and 2,342.72

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Solution

The fourth proportional to 3,494.72, 5,242.08 and 2,342.72 is: 3,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.72 : 5,242.08 = 2,342.72 : x
  2. Step 2: Convert to fraction form
    3,494.72/5,242.08 = 2,342.72/x
  3. Step 3: Cross multiply
    3,494.72x = 5,242.08 × 2,342.72
  4. Step 4: Simplify right side
    3,494.72x = 12,280,725.66
  5. Step 5: Solve for x
    x = 12,280,725.66/3,494.72
  6. Step 6: Final answer
    x = 3,514.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.