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Finding the Fourth Proportional to 5,603.57, 7,732.50 and 3,213.77

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Solution

The fourth proportional to 5,603.57, 7,732.50 and 3,213.77 is: 4,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.57 : 7,732.50 = 3,213.77 : x
  2. Step 2: Convert to fraction form
    5,603.57/7,732.50 = 3,213.77/x
  3. Step 3: Cross multiply
    5,603.57x = 7,732.50 × 3,213.77
  4. Step 4: Simplify right side
    5,603.57x = 24,850,437.86
  5. Step 5: Solve for x
    x = 24,850,437.86/5,603.57
  6. Step 6: Final answer
    x = 4,434.75

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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.