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Finding the Fourth Proportional to 5,852.69, 8,074.41 and 3,610.66

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Solution

The fourth proportional to 5,852.69, 8,074.41 and 3,610.66 is: 4,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.69 : 8,074.41 = 3,610.66 : x
  2. Step 2: Convert to fraction form
    5,852.69/8,074.41 = 3,610.66/x
  3. Step 3: Cross multiply
    5,852.69x = 8,074.41 × 3,610.66
  4. Step 4: Simplify right side
    5,852.69x = 29,153,929.02
  5. Step 5: Solve for x
    x = 29,153,929.02/5,852.69
  6. Step 6: Final answer
    x = 4,981.29

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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.