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Finding the Fourth Proportional to 4,254.06, 6,365.06 and 3,822.42

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Solution

The fourth proportional to 4,254.06, 6,365.06 and 3,822.42 is: 5,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.06 : 6,365.06 = 3,822.42 : x
  2. Step 2: Convert to fraction form
    4,254.06/6,365.06 = 3,822.42/x
  3. Step 3: Cross multiply
    4,254.06x = 6,365.06 × 3,822.42
  4. Step 4: Simplify right side
    4,254.06x = 24,329,932.65
  5. Step 5: Solve for x
    x = 24,329,932.65/4,254.06
  6. Step 6: Final answer
    x = 5,719.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.