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Finding the Fourth Proportional to 5,302.25, 7,952.06 and 1,792.18

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Solution

The fourth proportional to 5,302.25, 7,952.06 and 1,792.18 is: 2,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.25 : 7,952.06 = 1,792.18 : x
  2. Step 2: Convert to fraction form
    5,302.25/7,952.06 = 1,792.18/x
  3. Step 3: Cross multiply
    5,302.25x = 7,952.06 × 1,792.18
  4. Step 4: Simplify right side
    5,302.25x = 14,251,511.59
  5. Step 5: Solve for x
    x = 14,251,511.59/5,302.25
  6. Step 6: Final answer
    x = 2,687.82

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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.