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Finding the Fourth Proportional to 4,867.57, 7,295.19 and 3,111.90

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Solution

The fourth proportional to 4,867.57, 7,295.19 and 3,111.90 is: 4,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.57 : 7,295.19 = 3,111.90 : x
  2. Step 2: Convert to fraction form
    4,867.57/7,295.19 = 3,111.90/x
  3. Step 3: Cross multiply
    4,867.57x = 7,295.19 × 3,111.90
  4. Step 4: Simplify right side
    4,867.57x = 22,701,901.76
  5. Step 5: Solve for x
    x = 22,701,901.76/4,867.57
  6. Step 6: Final answer
    x = 4,663.91

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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.