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Finding the Fourth Proportional to 5,785.92, 7,984.59 and 3,133.32

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Solution

The fourth proportional to 5,785.92, 7,984.59 and 3,133.32 is: 4,323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.92 : 7,984.59 = 3,133.32 : x
  2. Step 2: Convert to fraction form
    5,785.92/7,984.59 = 3,133.32/x
  3. Step 3: Cross multiply
    5,785.92x = 7,984.59 × 3,133.32
  4. Step 4: Simplify right side
    5,785.92x = 25,018,275.54
  5. Step 5: Solve for x
    x = 25,018,275.54/5,785.92
  6. Step 6: Final answer
    x = 4,323.99

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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.