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Finding the Fourth Proportional to 4,283.92, 6,425.76 and 1,362.40

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Solution

The fourth proportional to 4,283.92, 6,425.76 and 1,362.40 is: 2,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.92 : 6,425.76 = 1,362.40 : x
  2. Step 2: Convert to fraction form
    4,283.92/6,425.76 = 1,362.40/x
  3. Step 3: Cross multiply
    4,283.92x = 6,425.76 × 1,362.40
  4. Step 4: Simplify right side
    4,283.92x = 8,754,455.42
  5. Step 5: Solve for x
    x = 8,754,455.42/4,283.92
  6. Step 6: Final answer
    x = 2,043.56

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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.