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Finding the Fourth Proportional to 5,700.55, 7,865.00 and 3,182.31

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Solution

The fourth proportional to 5,700.55, 7,865.00 and 3,182.31 is: 4,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.55 : 7,865.00 = 3,182.31 : x
  2. Step 2: Convert to fraction form
    5,700.55/7,865.00 = 3,182.31/x
  3. Step 3: Cross multiply
    5,700.55x = 7,865.00 × 3,182.31
  4. Step 4: Simplify right side
    5,700.55x = 25,028,886.29
  5. Step 5: Solve for x
    x = 25,028,886.29/5,700.55
  6. Step 6: Final answer
    x = 4,390.61

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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.