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Finding the Fourth Proportional to 3,970.64, 5,478.03 and 2,377.33

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Solution

The fourth proportional to 3,970.64, 5,478.03 and 2,377.33 is: 3,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.64 : 5,478.03 = 2,377.33 : x
  2. Step 2: Convert to fraction form
    3,970.64/5,478.03 = 2,377.33/x
  3. Step 3: Cross multiply
    3,970.64x = 5,478.03 × 2,377.33
  4. Step 4: Simplify right side
    3,970.64x = 13,023,102.18
  5. Step 5: Solve for x
    x = 13,023,102.18/3,970.64
  6. Step 6: Final answer
    x = 3,279.85

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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.