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Finding the Fourth Proportional to 5,671.61, 7,826.28 and 5,253.65

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Solution

The fourth proportional to 5,671.61, 7,826.28 and 5,253.65 is: 7,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.61 : 7,826.28 = 5,253.65 : x
  2. Step 2: Convert to fraction form
    5,671.61/7,826.28 = 5,253.65/x
  3. Step 3: Cross multiply
    5,671.61x = 7,826.28 × 5,253.65
  4. Step 4: Simplify right side
    5,671.61x = 41,116,529.49
  5. Step 5: Solve for x
    x = 41,116,529.49/5,671.61
  6. Step 6: Final answer
    x = 7,249.54

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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.