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Finding the Fourth Proportional to 5,776.33, 7,970.78 and 3,508.91

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Solution

The fourth proportional to 5,776.33, 7,970.78 and 3,508.91 is: 4,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.33 : 7,970.78 = 3,508.91 : x
  2. Step 2: Convert to fraction form
    5,776.33/7,970.78 = 3,508.91/x
  3. Step 3: Cross multiply
    5,776.33x = 7,970.78 × 3,508.91
  4. Step 4: Simplify right side
    5,776.33x = 27,968,761.01
  5. Step 5: Solve for x
    x = 27,968,761.01/5,776.33
  6. Step 6: Final answer
    x = 4,841.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.