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Finding the Fourth Proportional to 3,616.16, 5,424.60 and 1,307.12

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Solution

The fourth proportional to 3,616.16, 5,424.60 and 1,307.12 is: 1,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.16 : 5,424.60 = 1,307.12 : x
  2. Step 2: Convert to fraction form
    3,616.16/5,424.60 = 1,307.12/x
  3. Step 3: Cross multiply
    3,616.16x = 5,424.60 × 1,307.12
  4. Step 4: Simplify right side
    3,616.16x = 7,090,603.15
  5. Step 5: Solve for x
    x = 7,090,603.15/3,616.16
  6. Step 6: Final answer
    x = 1,960.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.