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Finding the Fourth Proportional to 5,240.32, 7,869.84 and 4,823.04

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Solution

The fourth proportional to 5,240.32, 7,869.84 and 4,823.04 is: 7,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.32 : 7,869.84 = 4,823.04 : x
  2. Step 2: Convert to fraction form
    5,240.32/7,869.84 = 4,823.04/x
  3. Step 3: Cross multiply
    5,240.32x = 7,869.84 × 4,823.04
  4. Step 4: Simplify right side
    5,240.32x = 37,956,553.11
  5. Step 5: Solve for x
    x = 37,956,553.11/5,240.32
  6. Step 6: Final answer
    x = 7,243.17

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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.