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Finding the Fourth Proportional to 5,856.54, 8,784.77 and 1,960.92

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Solution

The fourth proportional to 5,856.54, 8,784.77 and 1,960.92 is: 2,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.54 : 8,784.77 = 1,960.92 : x
  2. Step 2: Convert to fraction form
    5,856.54/8,784.77 = 1,960.92/x
  3. Step 3: Cross multiply
    5,856.54x = 8,784.77 × 1,960.92
  4. Step 4: Simplify right side
    5,856.54x = 17,226,221.38
  5. Step 5: Solve for x
    x = 17,226,221.38/5,856.54
  6. Step 6: Final answer
    x = 2,941.36

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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.