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Finding the Fourth Proportional to 4,494.40, 6,207.83 and 3,174.00

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Solution

The fourth proportional to 4,494.40, 6,207.83 and 3,174.00 is: 4,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.40 : 6,207.83 = 3,174.00 : x
  2. Step 2: Convert to fraction form
    4,494.40/6,207.83 = 3,174.00/x
  3. Step 3: Cross multiply
    4,494.40x = 6,207.83 × 3,174.00
  4. Step 4: Simplify right side
    4,494.40x = 19,703,625.17
  5. Step 5: Solve for x
    x = 19,703,625.17/4,494.40
  6. Step 6: Final answer
    x = 4,384.04

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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.