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Finding the Fourth Proportional to 5,209.86, 7,813.27 and 2,088.86

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Solution

The fourth proportional to 5,209.86, 7,813.27 and 2,088.86 is: 3,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.86 : 7,813.27 = 2,088.86 : x
  2. Step 2: Convert to fraction form
    5,209.86/7,813.27 = 2,088.86/x
  3. Step 3: Cross multiply
    5,209.86x = 7,813.27 × 2,088.86
  4. Step 4: Simplify right side
    5,209.86x = 16,320,841.48
  5. Step 5: Solve for x
    x = 16,320,841.48/5,209.86
  6. Step 6: Final answer
    x = 3,132.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.