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Finding the Fourth Proportional to 5,158.56, 7,675.80 and 5,141.28

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Solution

The fourth proportional to 5,158.56, 7,675.80 and 5,141.28 is: 7,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.56 : 7,675.80 = 5,141.28 : x
  2. Step 2: Convert to fraction form
    5,158.56/7,675.80 = 5,141.28/x
  3. Step 3: Cross multiply
    5,158.56x = 7,675.80 × 5,141.28
  4. Step 4: Simplify right side
    5,158.56x = 39,463,437.02
  5. Step 5: Solve for x
    x = 39,463,437.02/5,158.56
  6. Step 6: Final answer
    x = 7,650.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.