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Finding the Fourth Proportional to 3,880.92, 5,820.76 and 1,283.52

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Solution

The fourth proportional to 3,880.92, 5,820.76 and 1,283.52 is: 1,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.92 : 5,820.76 = 1,283.52 : x
  2. Step 2: Convert to fraction form
    3,880.92/5,820.76 = 1,283.52/x
  3. Step 3: Cross multiply
    3,880.92x = 5,820.76 × 1,283.52
  4. Step 4: Simplify right side
    3,880.92x = 7,471,061.88
  5. Step 5: Solve for x
    x = 7,471,061.88/3,880.92
  6. Step 6: Final answer
    x = 1,925.07

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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.