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Finding the Fourth Proportional to 5,064.52, 6,989.52 and 3,074.64

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Solution

The fourth proportional to 5,064.52, 6,989.52 and 3,074.64 is: 4,243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.52 : 6,989.52 = 3,074.64 : x
  2. Step 2: Convert to fraction form
    5,064.52/6,989.52 = 3,074.64/x
  3. Step 3: Cross multiply
    5,064.52x = 6,989.52 × 3,074.64
  4. Step 4: Simplify right side
    5,064.52x = 21,490,257.77
  5. Step 5: Solve for x
    x = 21,490,257.77/5,064.52
  6. Step 6: Final answer
    x = 4,243.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.