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Finding the Fourth Proportional to 5,182.46, 7,105.12 and 5,089.20

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Solution

The fourth proportional to 5,182.46, 7,105.12 and 5,089.20 is: 6,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.46 : 7,105.12 = 5,089.20 : x
  2. Step 2: Convert to fraction form
    5,182.46/7,105.12 = 5,089.20/x
  3. Step 3: Cross multiply
    5,182.46x = 7,105.12 × 5,089.20
  4. Step 4: Simplify right side
    5,182.46x = 36,159,376.70
  5. Step 5: Solve for x
    x = 36,159,376.70/5,182.46
  6. Step 6: Final answer
    x = 6,977.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.