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Finding the Fourth Proportional to 3,970.06, 5,477.67 and 2,478.70

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Solution

The fourth proportional to 3,970.06, 5,477.67 and 2,478.70 is: 3,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.06 : 5,477.67 = 2,478.70 : x
  2. Step 2: Convert to fraction form
    3,970.06/5,477.67 = 2,478.70/x
  3. Step 3: Cross multiply
    3,970.06x = 5,477.67 × 2,478.70
  4. Step 4: Simplify right side
    3,970.06x = 13,577,500.63
  5. Step 5: Solve for x
    x = 13,577,500.63/3,970.06
  6. Step 6: Final answer
    x = 3,419.97

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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.