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Finding the Fourth Proportional to 4,971.69, 7,456.69 and 1,508.13

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Solution

The fourth proportional to 4,971.69, 7,456.69 and 1,508.13 is: 2,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.69 : 7,456.69 = 1,508.13 : x
  2. Step 2: Convert to fraction form
    4,971.69/7,456.69 = 1,508.13/x
  3. Step 3: Cross multiply
    4,971.69x = 7,456.69 × 1,508.13
  4. Step 4: Simplify right side
    4,971.69x = 11,245,657.89
  5. Step 5: Solve for x
    x = 11,245,657.89/4,971.69
  6. Step 6: Final answer
    x = 2,261.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.