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Finding the Fourth Proportional to 3,338.84, 4,606.89 and 2,542.00

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Solution

The fourth proportional to 3,338.84, 4,606.89 and 2,542.00 is: 3,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.84 : 4,606.89 = 2,542.00 : x
  2. Step 2: Convert to fraction form
    3,338.84/4,606.89 = 2,542.00/x
  3. Step 3: Cross multiply
    3,338.84x = 4,606.89 × 2,542.00
  4. Step 4: Simplify right side
    3,338.84x = 11,710,702.86
  5. Step 5: Solve for x
    x = 11,710,702.86/3,338.84
  6. Step 6: Final answer
    x = 3,507.42

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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.