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Finding the Fourth Proportional to 3,726.73, 5,564.57 and 3,178.63

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Solution

The fourth proportional to 3,726.73, 5,564.57 and 3,178.63 is: 4,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.73 : 5,564.57 = 3,178.63 : x
  2. Step 2: Convert to fraction form
    3,726.73/5,564.57 = 3,178.63/x
  3. Step 3: Cross multiply
    3,726.73x = 5,564.57 × 3,178.63
  4. Step 4: Simplify right side
    3,726.73x = 17,687,709.14
  5. Step 5: Solve for x
    x = 17,687,709.14/3,726.73
  6. Step 6: Final answer
    x = 4,746.17

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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.