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Finding the Fourth Proportional to 5,151.20, 7,108.02 and 3,658.58

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Solution

The fourth proportional to 5,151.20, 7,108.02 and 3,658.58 is: 5,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.20 : 7,108.02 = 3,658.58 : x
  2. Step 2: Convert to fraction form
    5,151.20/7,108.02 = 3,658.58/x
  3. Step 3: Cross multiply
    5,151.20x = 7,108.02 × 3,658.58
  4. Step 4: Simplify right side
    5,151.20x = 26,005,259.81
  5. Step 5: Solve for x
    x = 26,005,259.81/5,151.20
  6. Step 6: Final answer
    x = 5,048.39

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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.