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Finding the Fourth Proportional to 4,693.92, 7,040.04 and 2,856.84

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Solution

The fourth proportional to 4,693.92, 7,040.04 and 2,856.84 is: 4,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.92 : 7,040.04 = 2,856.84 : x
  2. Step 2: Convert to fraction form
    4,693.92/7,040.04 = 2,856.84/x
  3. Step 3: Cross multiply
    4,693.92x = 7,040.04 × 2,856.84
  4. Step 4: Simplify right side
    4,693.92x = 20,112,267.87
  5. Step 5: Solve for x
    x = 20,112,267.87/4,693.92
  6. Step 6: Final answer
    x = 4,284.75

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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.