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Finding the Fourth Proportional to 3,826.84, 5,740.31 and 1,486.98

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Solution

The fourth proportional to 3,826.84, 5,740.31 and 1,486.98 is: 2,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.84 : 5,740.31 = 1,486.98 : x
  2. Step 2: Convert to fraction form
    3,826.84/5,740.31 = 1,486.98/x
  3. Step 3: Cross multiply
    3,826.84x = 5,740.31 × 1,486.98
  4. Step 4: Simplify right side
    3,826.84x = 8,535,726.16
  5. Step 5: Solve for x
    x = 8,535,726.16/3,826.84
  6. Step 6: Final answer
    x = 2,230.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.