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Finding the Fourth Proportional to 4,294.96, 5,926.80 and 2,803.24

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Solution

The fourth proportional to 4,294.96, 5,926.80 and 2,803.24 is: 3,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.96 : 5,926.80 = 2,803.24 : x
  2. Step 2: Convert to fraction form
    4,294.96/5,926.80 = 2,803.24/x
  3. Step 3: Cross multiply
    4,294.96x = 5,926.80 × 2,803.24
  4. Step 4: Simplify right side
    4,294.96x = 16,614,242.83
  5. Step 5: Solve for x
    x = 16,614,242.83/4,294.96
  6. Step 6: Final answer
    x = 3,868.31

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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.