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Finding the Fourth Proportional to 3,449.49, 4,762.06 and 2,123.96

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Solution

The fourth proportional to 3,449.49, 4,762.06 and 2,123.96 is: 2,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.49 : 4,762.06 = 2,123.96 : x
  2. Step 2: Convert to fraction form
    3,449.49/4,762.06 = 2,123.96/x
  3. Step 3: Cross multiply
    3,449.49x = 4,762.06 × 2,123.96
  4. Step 4: Simplify right side
    3,449.49x = 10,114,395.84
  5. Step 5: Solve for x
    x = 10,114,395.84/3,449.49
  6. Step 6: Final answer
    x = 2,932.15

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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.