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Finding the Fourth Proportional to 5,699.41, 7,866.49 and 3,342.31

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Solution

The fourth proportional to 5,699.41, 7,866.49 and 3,342.31 is: 4,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.41 : 7,866.49 = 3,342.31 : x
  2. Step 2: Convert to fraction form
    5,699.41/7,866.49 = 3,342.31/x
  3. Step 3: Cross multiply
    5,699.41x = 7,866.49 × 3,342.31
  4. Step 4: Simplify right side
    5,699.41x = 26,292,220.17
  5. Step 5: Solve for x
    x = 26,292,220.17/5,699.41
  6. Step 6: Final answer
    x = 4,613.15

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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.