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Finding the Fourth Proportional to 3,923.92, 5,888.04 and 2,386

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Solution

The fourth proportional to 3,923.92, 5,888.04 and 2,386 is: 3,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.92 : 5,888.04 = 2,386 : x
  2. Step 2: Convert to fraction form
    3,923.92/5,888.04 = 2,386/x
  3. Step 3: Cross multiply
    3,923.92x = 5,888.04 × 2,386
  4. Step 4: Simplify right side
    3,923.92x = 14,048,863.44
  5. Step 5: Solve for x
    x = 14,048,863.44/3,923.92
  6. Step 6: Final answer
    x = 3,580.31

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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.