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Finding the Fourth Proportional to 4,294.24, 5,881.63 and 4,042.06

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Solution

The fourth proportional to 4,294.24, 5,881.63 and 4,042.06 is: 5,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.24 : 5,881.63 = 4,042.06 : x
  2. Step 2: Convert to fraction form
    4,294.24/5,881.63 = 4,042.06/x
  3. Step 3: Cross multiply
    4,294.24x = 5,881.63 × 4,042.06
  4. Step 4: Simplify right side
    4,294.24x = 23,773,901.36
  5. Step 5: Solve for x
    x = 23,773,901.36/4,294.24
  6. Step 6: Final answer
    x = 5,536.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.