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Finding the Fourth Proportional to 4,612.64, 6,917.25 and 1,491.83

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Solution

The fourth proportional to 4,612.64, 6,917.25 and 1,491.83 is: 2,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.64 : 6,917.25 = 1,491.83 : x
  2. Step 2: Convert to fraction form
    4,612.64/6,917.25 = 1,491.83/x
  3. Step 3: Cross multiply
    4,612.64x = 6,917.25 × 1,491.83
  4. Step 4: Simplify right side
    4,612.64x = 10,319,388.53
  5. Step 5: Solve for x
    x = 10,319,388.53/4,612.64
  6. Step 6: Final answer
    x = 2,237.20

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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.