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Finding the Fourth Proportional to 3,750.91, 5,626.33 and 1,559.72

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Solution

The fourth proportional to 3,750.91, 5,626.33 and 1,559.72 is: 2,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.91 : 5,626.33 = 1,559.72 : x
  2. Step 2: Convert to fraction form
    3,750.91/5,626.33 = 1,559.72/x
  3. Step 3: Cross multiply
    3,750.91x = 5,626.33 × 1,559.72
  4. Step 4: Simplify right side
    3,750.91x = 8,775,509.59
  5. Step 5: Solve for x
    x = 8,775,509.59/3,750.91
  6. Step 6: Final answer
    x = 2,339.57

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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.