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Finding the Fourth Proportional to 5,807.24, 8,709.06 and 1,910.78

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Solution

The fourth proportional to 5,807.24, 8,709.06 and 1,910.78 is: 2,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.24 : 8,709.06 = 1,910.78 : x
  2. Step 2: Convert to fraction form
    5,807.24/8,709.06 = 1,910.78/x
  3. Step 3: Cross multiply
    5,807.24x = 8,709.06 × 1,910.78
  4. Step 4: Simplify right side
    5,807.24x = 16,641,097.67
  5. Step 5: Solve for x
    x = 16,641,097.67/5,807.24
  6. Step 6: Final answer
    x = 2,865.58

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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.