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Finding the Fourth Proportional to 3,592.72, 5,384.76 and 1,949.20

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Solution

The fourth proportional to 3,592.72, 5,384.76 and 1,949.20 is: 2,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.72 : 5,384.76 = 1,949.20 : x
  2. Step 2: Convert to fraction form
    3,592.72/5,384.76 = 1,949.20/x
  3. Step 3: Cross multiply
    3,592.72x = 5,384.76 × 1,949.20
  4. Step 4: Simplify right side
    3,592.72x = 10,495,974.19
  5. Step 5: Solve for x
    x = 10,495,974.19/3,592.72
  6. Step 6: Final answer
    x = 2,921.46

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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.