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Finding the Fourth Proportional to 5,698.38, 7,864.38 and 3,340.20

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Solution

The fourth proportional to 5,698.38, 7,864.38 and 3,340.20 is: 4,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.38 : 7,864.38 = 3,340.20 : x
  2. Step 2: Convert to fraction form
    5,698.38/7,864.38 = 3,340.20/x
  3. Step 3: Cross multiply
    5,698.38x = 7,864.38 × 3,340.20
  4. Step 4: Simplify right side
    5,698.38x = 26,268,602.08
  5. Step 5: Solve for x
    x = 26,268,602.08/5,698.38
  6. Step 6: Final answer
    x = 4,609.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.