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Finding the Fourth Proportional to 3,462.98, 4,777.46 and 2,117.57

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Solution

The fourth proportional to 3,462.98, 4,777.46 and 2,117.57 is: 2,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.98 : 4,777.46 = 2,117.57 : x
  2. Step 2: Convert to fraction form
    3,462.98/4,777.46 = 2,117.57/x
  3. Step 3: Cross multiply
    3,462.98x = 4,777.46 × 2,117.57
  4. Step 4: Simplify right side
    3,462.98x = 10,116,605.97
  5. Step 5: Solve for x
    x = 10,116,605.97/3,462.98
  6. Step 6: Final answer
    x = 2,921.36

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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.