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Finding the Fourth Proportional to 3,913.81, 5,870.91 and 1,449.37

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Solution

The fourth proportional to 3,913.81, 5,870.91 and 1,449.37 is: 2,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.81 : 5,870.91 = 1,449.37 : x
  2. Step 2: Convert to fraction form
    3,913.81/5,870.91 = 1,449.37/x
  3. Step 3: Cross multiply
    3,913.81x = 5,870.91 × 1,449.37
  4. Step 4: Simplify right side
    3,913.81x = 8,509,120.83
  5. Step 5: Solve for x
    x = 8,509,120.83/3,913.81
  6. Step 6: Final answer
    x = 2,174.13

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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.