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Finding the Fourth Proportional to 4,641.50, 6,405.28 and 2,754

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Solution

The fourth proportional to 4,641.50, 6,405.28 and 2,754 is: 3,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.50 : 6,405.28 = 2,754 : x
  2. Step 2: Convert to fraction form
    4,641.50/6,405.28 = 2,754/x
  3. Step 3: Cross multiply
    4,641.50x = 6,405.28 × 2,754
  4. Step 4: Simplify right side
    4,641.50x = 17,640,134.24
  5. Step 5: Solve for x
    x = 17,640,134.24/4,641.50
  6. Step 6: Final answer
    x = 3,800.52

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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.