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Finding the Fourth Proportional to 5,826.24, 8,030.86 and 3,937.24

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Solution

The fourth proportional to 5,826.24, 8,030.86 and 3,937.24 is: 5,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.24 : 8,030.86 = 3,937.24 : x
  2. Step 2: Convert to fraction form
    5,826.24/8,030.86 = 3,937.24/x
  3. Step 3: Cross multiply
    5,826.24x = 8,030.86 × 3,937.24
  4. Step 4: Simplify right side
    5,826.24x = 31,619,423.23
  5. Step 5: Solve for x
    x = 31,619,423.23/5,826.24
  6. Step 6: Final answer
    x = 5,427.07

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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.