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Finding the Fourth Proportional to 5,700.17, 7,866.63 and 3,182.78

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Solution

The fourth proportional to 5,700.17, 7,866.63 and 3,182.78 is: 4,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.17 : 7,866.63 = 3,182.78 : x
  2. Step 2: Convert to fraction form
    5,700.17/7,866.63 = 3,182.78/x
  3. Step 3: Cross multiply
    5,700.17x = 7,866.63 × 3,182.78
  4. Step 4: Simplify right side
    5,700.17x = 25,037,752.63
  5. Step 5: Solve for x
    x = 25,037,752.63/5,700.17
  6. Step 6: Final answer
    x = 4,392.46

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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.