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Finding the Fourth Proportional to 5,314.44, 7,971.58 and 1,616.52

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Solution

The fourth proportional to 5,314.44, 7,971.58 and 1,616.52 is: 2,424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.44 : 7,971.58 = 1,616.52 : x
  2. Step 2: Convert to fraction form
    5,314.44/7,971.58 = 1,616.52/x
  3. Step 3: Cross multiply
    5,314.44x = 7,971.58 × 1,616.52
  4. Step 4: Simplify right side
    5,314.44x = 12,886,218.50
  5. Step 5: Solve for x
    x = 12,886,218.50/5,314.44
  6. Step 6: Final answer
    x = 2,424.76

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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.