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Finding the Fourth Proportional to 4,971.41, 7,455.89 and 1,508.66

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Solution

The fourth proportional to 4,971.41, 7,455.89 and 1,508.66 is: 2,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.41 : 7,455.89 = 1,508.66 : x
  2. Step 2: Convert to fraction form
    4,971.41/7,455.89 = 1,508.66/x
  3. Step 3: Cross multiply
    4,971.41x = 7,455.89 × 1,508.66
  4. Step 4: Simplify right side
    4,971.41x = 11,248,365.73
  5. Step 5: Solve for x
    x = 11,248,365.73/4,971.41
  6. Step 6: Final answer
    x = 2,262.61

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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.