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Finding the Fourth Proportional to 4,491.59, 6,738.59 and 2,545.16

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Solution

The fourth proportional to 4,491.59, 6,738.59 and 2,545.16 is: 3,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.59 : 6,738.59 = 2,545.16 : x
  2. Step 2: Convert to fraction form
    4,491.59/6,738.59 = 2,545.16/x
  3. Step 3: Cross multiply
    4,491.59x = 6,738.59 × 2,545.16
  4. Step 4: Simplify right side
    4,491.59x = 17,150,762.39
  5. Step 5: Solve for x
    x = 17,150,762.39/4,491.59
  6. Step 6: Final answer
    x = 3,818.42

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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.