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Finding the Fourth Proportional to 4,133.49, 5,703.95 and 2,454.81

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Solution

The fourth proportional to 4,133.49, 5,703.95 and 2,454.81 is: 3,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.49 : 5,703.95 = 2,454.81 : x
  2. Step 2: Convert to fraction form
    4,133.49/5,703.95 = 2,454.81/x
  3. Step 3: Cross multiply
    4,133.49x = 5,703.95 × 2,454.81
  4. Step 4: Simplify right side
    4,133.49x = 14,002,101.23
  5. Step 5: Solve for x
    x = 14,002,101.23/4,133.49
  6. Step 6: Final answer
    x = 3,387.48

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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.