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Finding the Fourth Proportional to 5,604.90, 7,734.96 and 3,719.76

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Solution

The fourth proportional to 5,604.90, 7,734.96 and 3,719.76 is: 5,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.90 : 7,734.96 = 3,719.76 : x
  2. Step 2: Convert to fraction form
    5,604.90/7,734.96 = 3,719.76/x
  3. Step 3: Cross multiply
    5,604.90x = 7,734.96 × 3,719.76
  4. Step 4: Simplify right side
    5,604.90x = 28,772,194.81
  5. Step 5: Solve for x
    x = 28,772,194.81/5,604.90
  6. Step 6: Final answer
    x = 5,133.40

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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.