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Finding the Fourth Proportional to 3,564.36, 4,908.06 and 3,190.14

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Solution

The fourth proportional to 3,564.36, 4,908.06 and 3,190.14 is: 4,392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.36 : 4,908.06 = 3,190.14 : x
  2. Step 2: Convert to fraction form
    3,564.36/4,908.06 = 3,190.14/x
  3. Step 3: Cross multiply
    3,564.36x = 4,908.06 × 3,190.14
  4. Step 4: Simplify right side
    3,564.36x = 15,657,398.53
  5. Step 5: Solve for x
    x = 15,657,398.53/3,564.36
  6. Step 6: Final answer
    x = 4,392.77

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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.