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Finding the Fourth Proportional to 5,798.14, 8,001.42 and 3,145.61

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Solution

The fourth proportional to 5,798.14, 8,001.42 and 3,145.61 is: 4,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.14 : 8,001.42 = 3,145.61 : x
  2. Step 2: Convert to fraction form
    5,798.14/8,001.42 = 3,145.61/x
  3. Step 3: Cross multiply
    5,798.14x = 8,001.42 × 3,145.61
  4. Step 4: Simplify right side
    5,798.14x = 25,169,346.77
  5. Step 5: Solve for x
    x = 25,169,346.77/5,798.14
  6. Step 6: Final answer
    x = 4,340.93

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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.