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Finding the Fourth Proportional to 4,612.32, 6,917.13 and 1,838.07

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Solution

The fourth proportional to 4,612.32, 6,917.13 and 1,838.07 is: 2,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.32 : 6,917.13 = 1,838.07 : x
  2. Step 2: Convert to fraction form
    4,612.32/6,917.13 = 1,838.07/x
  3. Step 3: Cross multiply
    4,612.32x = 6,917.13 × 1,838.07
  4. Step 4: Simplify right side
    4,612.32x = 12,714,169.14
  5. Step 5: Solve for x
    x = 12,714,169.14/4,612.32
  6. Step 6: Final answer
    x = 2,756.57

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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.