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Finding the Fourth Proportional to 5,927.16, 8,178.78 and 3,568.92

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Solution

The fourth proportional to 5,927.16, 8,178.78 and 3,568.92 is: 4,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.16 : 8,178.78 = 3,568.92 : x
  2. Step 2: Convert to fraction form
    5,927.16/8,178.78 = 3,568.92/x
  3. Step 3: Cross multiply
    5,927.16x = 8,178.78 × 3,568.92
  4. Step 4: Simplify right side
    5,927.16x = 29,189,411.52
  5. Step 5: Solve for x
    x = 29,189,411.52/5,927.16
  6. Step 6: Final answer
    x = 4,924.69

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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.