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Finding the Fourth Proportional to 4,461.51, 6,151.05 and 3,838.73

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Solution

The fourth proportional to 4,461.51, 6,151.05 and 3,838.73 is: 5,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.51 : 6,151.05 = 3,838.73 : x
  2. Step 2: Convert to fraction form
    4,461.51/6,151.05 = 3,838.73/x
  3. Step 3: Cross multiply
    4,461.51x = 6,151.05 × 3,838.73
  4. Step 4: Simplify right side
    4,461.51x = 23,612,220.17
  5. Step 5: Solve for x
    x = 23,612,220.17/4,461.51
  6. Step 6: Final answer
    x = 5,292.43

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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.