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Finding the Fourth Proportional to 4,978.10, 7,467.96 and 1,691.48

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Solution

The fourth proportional to 4,978.10, 7,467.96 and 1,691.48 is: 2,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.10 : 7,467.96 = 1,691.48 : x
  2. Step 2: Convert to fraction form
    4,978.10/7,467.96 = 1,691.48/x
  3. Step 3: Cross multiply
    4,978.10x = 7,467.96 × 1,691.48
  4. Step 4: Simplify right side
    4,978.10x = 12,631,904.98
  5. Step 5: Solve for x
    x = 12,631,904.98/4,978.10
  6. Step 6: Final answer
    x = 2,537.50

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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.