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Finding the Fourth Proportional to 6,053.77, 8,353.27 and 3,400.66

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Solution

The fourth proportional to 6,053.77, 8,353.27 and 3,400.66 is: 4,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053.77 : 8,353.27 = 3,400.66 : x
  2. Step 2: Convert to fraction form
    6,053.77/8,353.27 = 3,400.66/x
  3. Step 3: Cross multiply
    6,053.77x = 8,353.27 × 3,400.66
  4. Step 4: Simplify right side
    6,053.77x = 28,406,631.16
  5. Step 5: Solve for x
    x = 28,406,631.16/6,053.77
  6. Step 6: Final answer
    x = 4,692.39

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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.