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Finding the Fourth Proportional to 5,754.66, 8,632 and 2,467.50

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Solution

The fourth proportional to 5,754.66, 8,632 and 2,467.50 is: 3,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.66 : 8,632 = 2,467.50 : x
  2. Step 2: Convert to fraction form
    5,754.66/8,632 = 2,467.50/x
  3. Step 3: Cross multiply
    5,754.66x = 8,632 × 2,467.50
  4. Step 4: Simplify right side
    5,754.66x = 21,299,460
  5. Step 5: Solve for x
    x = 21,299,460/5,754.66
  6. Step 6: Final answer
    x = 3,701.25

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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.