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Finding the Fourth Proportional to 5,721.66, 7,899.66 and 4,402.26

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Solution

The fourth proportional to 5,721.66, 7,899.66 and 4,402.26 is: 6,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.66 : 7,899.66 = 4,402.26 : x
  2. Step 2: Convert to fraction form
    5,721.66/7,899.66 = 4,402.26/x
  3. Step 3: Cross multiply
    5,721.66x = 7,899.66 × 4,402.26
  4. Step 4: Simplify right side
    5,721.66x = 34,776,357.23
  5. Step 5: Solve for x
    x = 34,776,357.23/5,721.66
  6. Step 6: Final answer
    x = 6,078.02

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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.