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Finding the Fourth Proportional to 5,715.17, 7,869.42 and 5,003.03

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Solution

The fourth proportional to 5,715.17, 7,869.42 and 5,003.03 is: 6,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.17 : 7,869.42 = 5,003.03 : x
  2. Step 2: Convert to fraction form
    5,715.17/7,869.42 = 5,003.03/x
  3. Step 3: Cross multiply
    5,715.17x = 7,869.42 × 5,003.03
  4. Step 4: Simplify right side
    5,715.17x = 39,370,939.00
  5. Step 5: Solve for x
    x = 39,370,939.00/5,715.17
  6. Step 6: Final answer
    x = 6,888.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.