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Finding the Fourth Proportional to 3,970.76, 5,478.86 and 2,398.86

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Solution

The fourth proportional to 3,970.76, 5,478.86 and 2,398.86 is: 3,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.76 : 5,478.86 = 2,398.86 : x
  2. Step 2: Convert to fraction form
    3,970.76/5,478.86 = 2,398.86/x
  3. Step 3: Cross multiply
    3,970.76x = 5,478.86 × 2,398.86
  4. Step 4: Simplify right side
    3,970.76x = 13,143,024.10
  5. Step 5: Solve for x
    x = 13,143,024.10/3,970.76
  6. Step 6: Final answer
    x = 3,309.95

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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.