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Finding the Fourth Proportional to 3,498.98, 5,247.24 and 1,033.14

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Solution

The fourth proportional to 3,498.98, 5,247.24 and 1,033.14 is: 1,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.98 : 5,247.24 = 1,033.14 : x
  2. Step 2: Convert to fraction form
    3,498.98/5,247.24 = 1,033.14/x
  3. Step 3: Cross multiply
    3,498.98x = 5,247.24 × 1,033.14
  4. Step 4: Simplify right side
    3,498.98x = 5,421,133.53
  5. Step 5: Solve for x
    x = 5,421,133.53/3,498.98
  6. Step 6: Final answer
    x = 1,549.35

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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.