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Finding the Fourth Proportional to 5,776.18, 7,971.01 and 3,538.15

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Solution

The fourth proportional to 5,776.18, 7,971.01 and 3,538.15 is: 4,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.18 : 7,971.01 = 3,538.15 : x
  2. Step 2: Convert to fraction form
    5,776.18/7,971.01 = 3,538.15/x
  3. Step 3: Cross multiply
    5,776.18x = 7,971.01 × 3,538.15
  4. Step 4: Simplify right side
    5,776.18x = 28,202,600.26
  5. Step 5: Solve for x
    x = 28,202,600.26/5,776.18
  6. Step 6: Final answer
    x = 4,882.57

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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.