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Finding the Fourth Proportional to 5,826.79, 8,023.49 and 5,219.93

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Solution

The fourth proportional to 5,826.79, 8,023.49 and 5,219.93 is: 7,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.79 : 8,023.49 = 5,219.93 : x
  2. Step 2: Convert to fraction form
    5,826.79/8,023.49 = 5,219.93/x
  3. Step 3: Cross multiply
    5,826.79x = 8,023.49 × 5,219.93
  4. Step 4: Simplify right side
    5,826.79x = 41,882,030.06
  5. Step 5: Solve for x
    x = 41,882,030.06/5,826.79
  6. Step 6: Final answer
    x = 7,187.84

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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.