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Finding the Fourth Proportional to 5,826.79, 8,052.38 and 5,178.79

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Solution

The fourth proportional to 5,826.79, 8,052.38 and 5,178.79 is: 7,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.79 : 8,052.38 = 5,178.79 : x
  2. Step 2: Convert to fraction form
    5,826.79/8,052.38 = 5,178.79/x
  3. Step 3: Cross multiply
    5,826.79x = 8,052.38 × 5,178.79
  4. Step 4: Simplify right side
    5,826.79x = 41,701,585.02
  5. Step 5: Solve for x
    x = 41,701,585.02/5,826.79
  6. Step 6: Final answer
    x = 7,156.87

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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.