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Finding the Fourth Proportional to 4,881.84, 6,733.56 and 4,140.72

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Solution

The fourth proportional to 4,881.84, 6,733.56 and 4,140.72 is: 5,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.84 : 6,733.56 = 4,140.72 : x
  2. Step 2: Convert to fraction form
    4,881.84/6,733.56 = 4,140.72/x
  3. Step 3: Cross multiply
    4,881.84x = 6,733.56 × 4,140.72
  4. Step 4: Simplify right side
    4,881.84x = 27,881,786.56
  5. Step 5: Solve for x
    x = 27,881,786.56/4,881.84
  6. Step 6: Final answer
    x = 5,711.33

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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.