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Finding the Fourth Proportional to 5,225.61, 7,212.46 and 3,130.95

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Solution

The fourth proportional to 5,225.61, 7,212.46 and 3,130.95 is: 4,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.61 : 7,212.46 = 3,130.95 : x
  2. Step 2: Convert to fraction form
    5,225.61/7,212.46 = 3,130.95/x
  3. Step 3: Cross multiply
    5,225.61x = 7,212.46 × 3,130.95
  4. Step 4: Simplify right side
    5,225.61x = 22,581,876.73
  5. Step 5: Solve for x
    x = 22,581,876.73/5,225.61
  6. Step 6: Final answer
    x = 4,321.38

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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.