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Finding the Fourth Proportional to 3,970.26, 5,478.98 and 2,478.20

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Solution

The fourth proportional to 3,970.26, 5,478.98 and 2,478.20 is: 3,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.26 : 5,478.98 = 2,478.20 : x
  2. Step 2: Convert to fraction form
    3,970.26/5,478.98 = 2,478.20/x
  3. Step 3: Cross multiply
    3,970.26x = 5,478.98 × 2,478.20
  4. Step 4: Simplify right side
    3,970.26x = 13,577,968.45
  5. Step 5: Solve for x
    x = 13,577,968.45/3,970.26
  6. Step 6: Final answer
    x = 3,419.92

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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.