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Finding the Fourth Proportional to 3,499.02, 5,248.53 and 901.75

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Solution

The fourth proportional to 3,499.02, 5,248.53 and 901.75 is: 1,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.02 : 5,248.53 = 901.75 : x
  2. Step 2: Convert to fraction form
    3,499.02/5,248.53 = 901.75/x
  3. Step 3: Cross multiply
    3,499.02x = 5,248.53 × 901.75
  4. Step 4: Simplify right side
    3,499.02x = 4,732,861.93
  5. Step 5: Solve for x
    x = 4,732,861.93/3,499.02
  6. Step 6: Final answer
    x = 1,352.63

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Similar ratio
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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.