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Finding the Fourth Proportional to 5,101.84, 7,039.24 and 3,005.56

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Solution

The fourth proportional to 5,101.84, 7,039.24 and 3,005.56 is: 4,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.84 : 7,039.24 = 3,005.56 : x
  2. Step 2: Convert to fraction form
    5,101.84/7,039.24 = 3,005.56/x
  3. Step 3: Cross multiply
    5,101.84x = 7,039.24 × 3,005.56
  4. Step 4: Simplify right side
    5,101.84x = 21,156,858.17
  5. Step 5: Solve for x
    x = 21,156,858.17/5,101.84
  6. Step 6: Final answer
    x = 4,146.91

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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.