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Finding the Fourth Proportional to 5,587.74, 8,382 and 1,692.44

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Solution

The fourth proportional to 5,587.74, 8,382 and 1,692.44 is: 2,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.74 : 8,382 = 1,692.44 : x
  2. Step 2: Convert to fraction form
    5,587.74/8,382 = 1,692.44/x
  3. Step 3: Cross multiply
    5,587.74x = 8,382 × 1,692.44
  4. Step 4: Simplify right side
    5,587.74x = 14,186,032.08
  5. Step 5: Solve for x
    x = 14,186,032.08/5,587.74
  6. Step 6: Final answer
    x = 2,538.78

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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.