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Finding the Fourth Proportional to 5,626.73, 8,434.80 and 1,926.32

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Solution

The fourth proportional to 5,626.73, 8,434.80 and 1,926.32 is: 2,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.73 : 8,434.80 = 1,926.32 : x
  2. Step 2: Convert to fraction form
    5,626.73/8,434.80 = 1,926.32/x
  3. Step 3: Cross multiply
    5,626.73x = 8,434.80 × 1,926.32
  4. Step 4: Simplify right side
    5,626.73x = 16,248,081.76
  5. Step 5: Solve for x
    x = 16,248,081.76/5,626.73
  6. Step 6: Final answer
    x = 2,887.66

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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.