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Finding the Fourth Proportional to 5,159.79, 7,748.15 and 4,896.86

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Solution

The fourth proportional to 5,159.79, 7,748.15 and 4,896.86 is: 7,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.79 : 7,748.15 = 4,896.86 : x
  2. Step 2: Convert to fraction form
    5,159.79/7,748.15 = 4,896.86/x
  3. Step 3: Cross multiply
    5,159.79x = 7,748.15 × 4,896.86
  4. Step 4: Simplify right side
    5,159.79x = 37,941,542.58
  5. Step 5: Solve for x
    x = 37,941,542.58/5,159.79
  6. Step 6: Final answer
    x = 7,353.31

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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.