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Finding the Fourth Proportional to 3,837.06, 5,721.48 and 3,829.77

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Solution

The fourth proportional to 3,837.06, 5,721.48 and 3,829.77 is: 5,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.06 : 5,721.48 = 3,829.77 : x
  2. Step 2: Convert to fraction form
    3,837.06/5,721.48 = 3,829.77/x
  3. Step 3: Cross multiply
    3,837.06x = 5,721.48 × 3,829.77
  4. Step 4: Simplify right side
    3,837.06x = 21,911,952.46
  5. Step 5: Solve for x
    x = 21,911,952.46/3,837.06
  6. Step 6: Final answer
    x = 5,710.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.