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Finding the Fourth Proportional to 5,154.70, 7,723.80 and 5,018.02

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Solution

The fourth proportional to 5,154.70, 7,723.80 and 5,018.02 is: 7,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.70 : 7,723.80 = 5,018.02 : x
  2. Step 2: Convert to fraction form
    5,154.70/7,723.80 = 5,018.02/x
  3. Step 3: Cross multiply
    5,154.70x = 7,723.80 × 5,018.02
  4. Step 4: Simplify right side
    5,154.70x = 38,758,182.88
  5. Step 5: Solve for x
    x = 38,758,182.88/5,154.70
  6. Step 6: Final answer
    x = 7,519.00

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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.