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Finding the Fourth Proportional to 5,798.16, 8,001.40 and 3,145.52

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Solution

The fourth proportional to 5,798.16, 8,001.40 and 3,145.52 is: 4,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.16 : 8,001.40 = 3,145.52 : x
  2. Step 2: Convert to fraction form
    5,798.16/8,001.40 = 3,145.52/x
  3. Step 3: Cross multiply
    5,798.16x = 8,001.40 × 3,145.52
  4. Step 4: Simplify right side
    5,798.16x = 25,168,563.73
  5. Step 5: Solve for x
    x = 25,168,563.73/5,798.16
  6. Step 6: Final answer
    x = 4,340.78

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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.