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Finding the Fourth Proportional to 4,182.99, 5,772.61 and 2,294.46

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Solution

The fourth proportional to 4,182.99, 5,772.61 and 2,294.46 is: 3,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.99 : 5,772.61 = 2,294.46 : x
  2. Step 2: Convert to fraction form
    4,182.99/5,772.61 = 2,294.46/x
  3. Step 3: Cross multiply
    4,182.99x = 5,772.61 × 2,294.46
  4. Step 4: Simplify right side
    4,182.99x = 13,245,011.27
  5. Step 5: Solve for x
    x = 13,245,011.27/4,182.99
  6. Step 6: Final answer
    x = 3,166.40

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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.