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Finding the Fourth Proportional to 4,191.86, 5,784.76 and 2,328.86

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Solution

The fourth proportional to 4,191.86, 5,784.76 and 2,328.86 is: 3,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.86 : 5,784.76 = 2,328.86 : x
  2. Step 2: Convert to fraction form
    4,191.86/5,784.76 = 2,328.86/x
  3. Step 3: Cross multiply
    4,191.86x = 5,784.76 × 2,328.86
  4. Step 4: Simplify right side
    4,191.86x = 13,471,896.17
  5. Step 5: Solve for x
    x = 13,471,896.17/4,191.86
  6. Step 6: Final answer
    x = 3,213.82

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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.