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Finding the Fourth Proportional to 3,616.15, 5,424.23 and 1,307.11

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Solution

The fourth proportional to 3,616.15, 5,424.23 and 1,307.11 is: 1,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.15 : 5,424.23 = 1,307.11 : x
  2. Step 2: Convert to fraction form
    3,616.15/5,424.23 = 1,307.11/x
  3. Step 3: Cross multiply
    3,616.15x = 5,424.23 × 1,307.11
  4. Step 4: Simplify right side
    3,616.15x = 7,090,058.74
  5. Step 5: Solve for x
    x = 7,090,058.74/3,616.15
  6. Step 6: Final answer
    x = 1,960.67

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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.