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Finding the Fourth Proportional to 3,970.42, 5,470.28 and 3,329.72

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Solution

The fourth proportional to 3,970.42, 5,470.28 and 3,329.72 is: 4,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.42 : 5,470.28 = 3,329.72 : x
  2. Step 2: Convert to fraction form
    3,970.42/5,470.28 = 3,329.72/x
  3. Step 3: Cross multiply
    3,970.42x = 5,470.28 × 3,329.72
  4. Step 4: Simplify right side
    3,970.42x = 18,214,500.72
  5. Step 5: Solve for x
    x = 18,214,500.72/3,970.42
  6. Step 6: Final answer
    x = 4,587.55

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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.