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Finding the Fourth Proportional to 3,807.57, 5,713.07 and 2,420.55

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Solution

The fourth proportional to 3,807.57, 5,713.07 and 2,420.55 is: 3,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.57 : 5,713.07 = 2,420.55 : x
  2. Step 2: Convert to fraction form
    3,807.57/5,713.07 = 2,420.55/x
  3. Step 3: Cross multiply
    3,807.57x = 5,713.07 × 2,420.55
  4. Step 4: Simplify right side
    3,807.57x = 13,828,759.49
  5. Step 5: Solve for x
    x = 13,828,759.49/3,807.57
  6. Step 6: Final answer
    x = 3,631.91

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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.