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Finding the Fourth Proportional to 5,698.07, 7,864.24 and 3,340.20

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Solution

The fourth proportional to 5,698.07, 7,864.24 and 3,340.20 is: 4,610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.07 : 7,864.24 = 3,340.20 : x
  2. Step 2: Convert to fraction form
    5,698.07/7,864.24 = 3,340.20/x
  3. Step 3: Cross multiply
    5,698.07x = 7,864.24 × 3,340.20
  4. Step 4: Simplify right side
    5,698.07x = 26,268,134.45
  5. Step 5: Solve for x
    x = 26,268,134.45/5,698.07
  6. Step 6: Final answer
    x = 4,610.01

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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.