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Finding the Fourth Proportional to 5,801.50, 8,006.39 and 3,565.77

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Solution

The fourth proportional to 5,801.50, 8,006.39 and 3,565.77 is: 4,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.50 : 8,006.39 = 3,565.77 : x
  2. Step 2: Convert to fraction form
    5,801.50/8,006.39 = 3,565.77/x
  3. Step 3: Cross multiply
    5,801.50x = 8,006.39 × 3,565.77
  4. Step 4: Simplify right side
    5,801.50x = 28,548,945.27
  5. Step 5: Solve for x
    x = 28,548,945.27/5,801.50
  6. Step 6: Final answer
    x = 4,920.96

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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.