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Finding the Fourth Proportional to 5,292.66, 7,306.29 and 3,970.74

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Solution

The fourth proportional to 5,292.66, 7,306.29 and 3,970.74 is: 5,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.66 : 7,306.29 = 3,970.74 : x
  2. Step 2: Convert to fraction form
    5,292.66/7,306.29 = 3,970.74/x
  3. Step 3: Cross multiply
    5,292.66x = 7,306.29 × 3,970.74
  4. Step 4: Simplify right side
    5,292.66x = 29,011,377.95
  5. Step 5: Solve for x
    x = 29,011,377.95/5,292.66
  6. Step 6: Final answer
    x = 5,481.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.