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Finding the Fourth Proportional to 5,006.77, 7,510.10 and 3,519.86

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Solution

The fourth proportional to 5,006.77, 7,510.10 and 3,519.86 is: 5,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.77 : 7,510.10 = 3,519.86 : x
  2. Step 2: Convert to fraction form
    5,006.77/7,510.10 = 3,519.86/x
  3. Step 3: Cross multiply
    5,006.77x = 7,510.10 × 3,519.86
  4. Step 4: Simplify right side
    5,006.77x = 26,434,471.84
  5. Step 5: Solve for x
    x = 26,434,471.84/5,006.77
  6. Step 6: Final answer
    x = 5,279.75

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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.