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Finding the Fourth Proportional to 5,215.92, 7,823.88 and 1,267.18

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Solution

The fourth proportional to 5,215.92, 7,823.88 and 1,267.18 is: 1,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.92 : 7,823.88 = 1,267.18 : x
  2. Step 2: Convert to fraction form
    5,215.92/7,823.88 = 1,267.18/x
  3. Step 3: Cross multiply
    5,215.92x = 7,823.88 × 1,267.18
  4. Step 4: Simplify right side
    5,215.92x = 9,914,264.26
  5. Step 5: Solve for x
    x = 9,914,264.26/5,215.92
  6. Step 6: Final answer
    x = 1,900.77

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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.