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Finding the Fourth Proportional to 4,577.52, 6,865.74 and 1,499.52

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Solution

The fourth proportional to 4,577.52, 6,865.74 and 1,499.52 is: 2,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.52 : 6,865.74 = 1,499.52 : x
  2. Step 2: Convert to fraction form
    4,577.52/6,865.74 = 1,499.52/x
  3. Step 3: Cross multiply
    4,577.52x = 6,865.74 × 1,499.52
  4. Step 4: Simplify right side
    4,577.52x = 10,295,314.44
  5. Step 5: Solve for x
    x = 10,295,314.44/4,577.52
  6. Step 6: Final answer
    x = 2,249.10

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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.