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Finding the Fourth Proportional to 3,577.24, 5,365.80 and 980.18

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Solution

The fourth proportional to 3,577.24, 5,365.80 and 980.18 is: 1,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.24 : 5,365.80 = 980.18 : x
  2. Step 2: Convert to fraction form
    3,577.24/5,365.80 = 980.18/x
  3. Step 3: Cross multiply
    3,577.24x = 5,365.80 × 980.18
  4. Step 4: Simplify right side
    3,577.24x = 5,259,428.73
  5. Step 5: Solve for x
    x = 5,259,428.73/3,577.24
  6. Step 6: Final answer
    x = 1,470.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.