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Finding the Fourth Proportional to 5,447.60, 7,517.63 and 3,089.76

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Solution

The fourth proportional to 5,447.60, 7,517.63 and 3,089.76 is: 4,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.60 : 7,517.63 = 3,089.76 : x
  2. Step 2: Convert to fraction form
    5,447.60/7,517.63 = 3,089.76/x
  3. Step 3: Cross multiply
    5,447.60x = 7,517.63 × 3,089.76
  4. Step 4: Simplify right side
    5,447.60x = 23,227,657.02
  5. Step 5: Solve for x
    x = 23,227,657.02/5,447.60
  6. Step 6: Final answer
    x = 4,263.84

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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.