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Finding the Fourth Proportional to 5,698.29, 7,864.32 and 3,340.41

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Solution

The fourth proportional to 5,698.29, 7,864.32 and 3,340.41 is: 4,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.29 : 7,864.32 = 3,340.41 : x
  2. Step 2: Convert to fraction form
    5,698.29/7,864.32 = 3,340.41/x
  3. Step 3: Cross multiply
    5,698.29x = 7,864.32 × 3,340.41
  4. Step 4: Simplify right side
    5,698.29x = 26,270,053.17
  5. Step 5: Solve for x
    x = 26,270,053.17/5,698.29
  6. Step 6: Final answer
    x = 4,610.16

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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.