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Finding the Fourth Proportional to 3,497.90, 5,247.12 and 1,032.67

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Solution

The fourth proportional to 3,497.90, 5,247.12 and 1,032.67 is: 1,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.90 : 5,247.12 = 1,032.67 : x
  2. Step 2: Convert to fraction form
    3,497.90/5,247.12 = 1,032.67/x
  3. Step 3: Cross multiply
    3,497.90x = 5,247.12 × 1,032.67
  4. Step 4: Simplify right side
    3,497.90x = 5,418,517.17
  5. Step 5: Solve for x
    x = 5,418,517.17/3,497.90
  6. Step 6: Final answer
    x = 1,549.08

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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.