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Finding the Fourth Proportional to 3,776.52, 5,204.34 and 2,516.16

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Solution

The fourth proportional to 3,776.52, 5,204.34 and 2,516.16 is: 3,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.52 : 5,204.34 = 2,516.16 : x
  2. Step 2: Convert to fraction form
    3,776.52/5,204.34 = 2,516.16/x
  3. Step 3: Cross multiply
    3,776.52x = 5,204.34 × 2,516.16
  4. Step 4: Simplify right side
    3,776.52x = 13,094,952.13
  5. Step 5: Solve for x
    x = 13,094,952.13/3,776.52
  6. Step 6: Final answer
    x = 3,467.47

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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.