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Finding the Fourth Proportional to 5,774.24, 7,965.24 and 3,535.76

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Solution

The fourth proportional to 5,774.24, 7,965.24 and 3,535.76 is: 4,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.24 : 7,965.24 = 3,535.76 : x
  2. Step 2: Convert to fraction form
    5,774.24/7,965.24 = 3,535.76/x
  3. Step 3: Cross multiply
    5,774.24x = 7,965.24 × 3,535.76
  4. Step 4: Simplify right side
    5,774.24x = 28,163,176.98
  5. Step 5: Solve for x
    x = 28,163,176.98/5,774.24
  6. Step 6: Final answer
    x = 4,877.38

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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.