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Finding the Fourth Proportional to 5,760.96, 7,950.96 and 3,524.16

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Solution

The fourth proportional to 5,760.96, 7,950.96 and 3,524.16 is: 4,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.96 : 7,950.96 = 3,524.16 : x
  2. Step 2: Convert to fraction form
    5,760.96/7,950.96 = 3,524.16/x
  3. Step 3: Cross multiply
    5,760.96x = 7,950.96 × 3,524.16
  4. Step 4: Simplify right side
    5,760.96x = 28,020,455.19
  5. Step 5: Solve for x
    x = 28,020,455.19/5,760.96
  6. Step 6: Final answer
    x = 4,863.85

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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.