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Finding the Fourth Proportional to 5,314.56, 7,971.96 and 1,616.64

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Solution

The fourth proportional to 5,314.56, 7,971.96 and 1,616.64 is: 2,425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.56 : 7,971.96 = 1,616.64 : x
  2. Step 2: Convert to fraction form
    5,314.56/7,971.96 = 1,616.64/x
  3. Step 3: Cross multiply
    5,314.56x = 7,971.96 × 1,616.64
  4. Step 4: Simplify right side
    5,314.56x = 12,887,789.41
  5. Step 5: Solve for x
    x = 12,887,789.41/5,314.56
  6. Step 6: Final answer
    x = 2,425.00

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Why These Related Problems?

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