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Finding the Fourth Proportional to 4,380, 6,042.88 and 2,491.36

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Solution

The fourth proportional to 4,380, 6,042.88 and 2,491.36 is: 3,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380 : 6,042.88 = 2,491.36 : x
  2. Step 2: Convert to fraction form
    4,380/6,042.88 = 2,491.36/x
  3. Step 3: Cross multiply
    4,380x = 6,042.88 × 2,491.36
  4. Step 4: Simplify right side
    4,380x = 15,054,989.52
  5. Step 5: Solve for x
    x = 15,054,989.52/4,380
  6. Step 6: Final answer
    x = 3,437.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.