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Finding the Fourth Proportional to 4,491.81, 6,738.62 and 1,572.16

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Solution

The fourth proportional to 4,491.81, 6,738.62 and 1,572.16 is: 2,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.81 : 6,738.62 = 1,572.16 : x
  2. Step 2: Convert to fraction form
    4,491.81/6,738.62 = 1,572.16/x
  3. Step 3: Cross multiply
    4,491.81x = 6,738.62 × 1,572.16
  4. Step 4: Simplify right side
    4,491.81x = 10,594,188.82
  5. Step 5: Solve for x
    x = 10,594,188.82/4,491.81
  6. Step 6: Final answer
    x = 2,358.56

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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.