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Finding the Fourth Proportional to 5,704.04, 7,866.78 and 3,713.06

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Solution

The fourth proportional to 5,704.04, 7,866.78 and 3,713.06 is: 5,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.04 : 7,866.78 = 3,713.06 : x
  2. Step 2: Convert to fraction form
    5,704.04/7,866.78 = 3,713.06/x
  3. Step 3: Cross multiply
    5,704.04x = 7,866.78 × 3,713.06
  4. Step 4: Simplify right side
    5,704.04x = 29,209,826.15
  5. Step 5: Solve for x
    x = 29,209,826.15/5,704.04
  6. Step 6: Final answer
    x = 5,120.90

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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.