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Finding the Fourth Proportional to 5,574.57, 7,692.74 and 3,056.66

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Solution

The fourth proportional to 5,574.57, 7,692.74 and 3,056.66 is: 4,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.57 : 7,692.74 = 3,056.66 : x
  2. Step 2: Convert to fraction form
    5,574.57/7,692.74 = 3,056.66/x
  3. Step 3: Cross multiply
    5,574.57x = 7,692.74 × 3,056.66
  4. Step 4: Simplify right side
    5,574.57x = 23,514,036.90
  5. Step 5: Solve for x
    x = 23,514,036.90/5,574.57
  6. Step 6: Final answer
    x = 4,218.09

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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.