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Finding the Fourth Proportional to 5,700.16, 7,865.40 and 3,462.13

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Solution

The fourth proportional to 5,700.16, 7,865.40 and 3,462.13 is: 4,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.16 : 7,865.40 = 3,462.13 : x
  2. Step 2: Convert to fraction form
    5,700.16/7,865.40 = 3,462.13/x
  3. Step 3: Cross multiply
    5,700.16x = 7,865.40 × 3,462.13
  4. Step 4: Simplify right side
    5,700.16x = 27,231,037.30
  5. Step 5: Solve for x
    x = 27,231,037.30/5,700.16
  6. Step 6: Final answer
    x = 4,777.24

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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.