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Finding the Fourth Proportional to 5,798.29, 8,001.41 and 3,145.60

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Solution

The fourth proportional to 5,798.29, 8,001.41 and 3,145.60 is: 4,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.29 : 8,001.41 = 3,145.60 : x
  2. Step 2: Convert to fraction form
    5,798.29/8,001.41 = 3,145.60/x
  3. Step 3: Cross multiply
    5,798.29x = 8,001.41 × 3,145.60
  4. Step 4: Simplify right side
    5,798.29x = 25,169,243.16
  5. Step 5: Solve for x
    x = 25,169,243.16/5,798.29
  6. Step 6: Final answer
    x = 4,340.80

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1.5x scale

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.