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Finding the Fourth Proportional to 3,402.80, 4,695.16 and 2,655.44

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Solution

The fourth proportional to 3,402.80, 4,695.16 and 2,655.44 is: 3,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.80 : 4,695.16 = 2,655.44 : x
  2. Step 2: Convert to fraction form
    3,402.80/4,695.16 = 2,655.44/x
  3. Step 3: Cross multiply
    3,402.80x = 4,695.16 × 2,655.44
  4. Step 4: Simplify right side
    3,402.80x = 12,467,715.67
  5. Step 5: Solve for x
    x = 12,467,715.67/3,402.80
  6. Step 6: Final answer
    x = 3,663.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.