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Finding the Fourth Proportional to 3,678.50, 5,523.21 and 2,585.00

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Solution

The fourth proportional to 3,678.50, 5,523.21 and 2,585.00 is: 3,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.50 : 5,523.21 = 2,585.00 : x
  2. Step 2: Convert to fraction form
    3,678.50/5,523.21 = 2,585.00/x
  3. Step 3: Cross multiply
    3,678.50x = 5,523.21 × 2,585.00
  4. Step 4: Simplify right side
    3,678.50x = 14,277,470.23
  5. Step 5: Solve for x
    x = 14,277,470.23/3,678.50
  6. Step 6: Final answer
    x = 3,881.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.