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Finding the Fourth Proportional to 3,498.03, 5,248.44 and 3,442.74

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Solution

The fourth proportional to 3,498.03, 5,248.44 and 3,442.74 is: 5,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.03 : 5,248.44 = 3,442.74 : x
  2. Step 2: Convert to fraction form
    3,498.03/5,248.44 = 3,442.74/x
  3. Step 3: Cross multiply
    3,498.03x = 5,248.44 × 3,442.74
  4. Step 4: Simplify right side
    3,498.03x = 18,069,014.33
  5. Step 5: Solve for x
    x = 18,069,014.33/3,498.03
  6. Step 6: Final answer
    x = 5,165.48

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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.