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Finding the Fourth Proportional to 5,798.16, 8,001.24 and 3,145.48

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Solution

The fourth proportional to 5,798.16, 8,001.24 and 3,145.48 is: 4,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.16 : 8,001.24 = 3,145.48 : x
  2. Step 2: Convert to fraction form
    5,798.16/8,001.24 = 3,145.48/x
  3. Step 3: Cross multiply
    5,798.16x = 8,001.24 × 3,145.48
  4. Step 4: Simplify right side
    5,798.16x = 25,167,740.40
  5. Step 5: Solve for x
    x = 25,167,740.40/5,798.16
  6. Step 6: Final answer
    x = 4,340.64

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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.