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Finding the Fourth Proportional to 3,531.98, 5,298.34 and 934.92

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Solution

The fourth proportional to 3,531.98, 5,298.34 and 934.92 is: 1,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.98 : 5,298.34 = 934.92 : x
  2. Step 2: Convert to fraction form
    3,531.98/5,298.34 = 934.92/x
  3. Step 3: Cross multiply
    3,531.98x = 5,298.34 × 934.92
  4. Step 4: Simplify right side
    3,531.98x = 4,953,524.03
  5. Step 5: Solve for x
    x = 4,953,524.03/3,531.98
  6. Step 6: Final answer
    x = 1,402.48

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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.