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Finding the Fourth Proportional to 3,671.63, 5,064.54 and 2,178.49

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Solution

The fourth proportional to 3,671.63, 5,064.54 and 2,178.49 is: 3,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.63 : 5,064.54 = 2,178.49 : x
  2. Step 2: Convert to fraction form
    3,671.63/5,064.54 = 2,178.49/x
  3. Step 3: Cross multiply
    3,671.63x = 5,064.54 × 2,178.49
  4. Step 4: Simplify right side
    3,671.63x = 11,033,013.53
  5. Step 5: Solve for x
    x = 11,033,013.53/3,671.63
  6. Step 6: Final answer
    x = 3,004.94

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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.