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Finding the Fourth Proportional to 5,817.80, 8,723.46 and 5,126.06

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Solution

The fourth proportional to 5,817.80, 8,723.46 and 5,126.06 is: 7,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.80 : 8,723.46 = 5,126.06 : x
  2. Step 2: Convert to fraction form
    5,817.80/8,723.46 = 5,126.06/x
  3. Step 3: Cross multiply
    5,817.80x = 8,723.46 × 5,126.06
  4. Step 4: Simplify right side
    5,817.80x = 44,716,979.37
  5. Step 5: Solve for x
    x = 44,716,979.37/5,817.80
  6. Step 6: Final answer
    x = 7,686.24

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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.