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Finding the Fourth Proportional to 5,459.38, 7,532.04 and 3,069

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Solution

The fourth proportional to 5,459.38, 7,532.04 and 3,069 is: 4,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.38 : 7,532.04 = 3,069 : x
  2. Step 2: Convert to fraction form
    5,459.38/7,532.04 = 3,069/x
  3. Step 3: Cross multiply
    5,459.38x = 7,532.04 × 3,069
  4. Step 4: Simplify right side
    5,459.38x = 23,115,830.76
  5. Step 5: Solve for x
    x = 23,115,830.76/5,459.38
  6. Step 6: Final answer
    x = 4,234.15

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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.