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Finding the Fourth Proportional to 5,699.13, 7,864.74 and 3,340.82

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Solution

The fourth proportional to 5,699.13, 7,864.74 and 3,340.82 is: 4,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.13 : 7,864.74 = 3,340.82 : x
  2. Step 2: Convert to fraction form
    5,699.13/7,864.74 = 3,340.82/x
  3. Step 3: Cross multiply
    5,699.13x = 7,864.74 × 3,340.82
  4. Step 4: Simplify right side
    5,699.13x = 26,274,641.36
  5. Step 5: Solve for x
    x = 26,274,641.36/5,699.13
  6. Step 6: Final answer
    x = 4,610.29

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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.