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Finding the Fourth Proportional to 3,616.16, 5,398.06 and 3,178.76

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Solution

The fourth proportional to 3,616.16, 5,398.06 and 3,178.76 is: 4,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.16 : 5,398.06 = 3,178.76 : x
  2. Step 2: Convert to fraction form
    3,616.16/5,398.06 = 3,178.76/x
  3. Step 3: Cross multiply
    3,616.16x = 5,398.06 × 3,178.76
  4. Step 4: Simplify right side
    3,616.16x = 17,159,137.21
  5. Step 5: Solve for x
    x = 17,159,137.21/3,616.16
  6. Step 6: Final answer
    x = 4,745.13

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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.