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Finding the Fourth Proportional to 4,749.52, 7,124.52 and 1,464.86

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Solution

The fourth proportional to 4,749.52, 7,124.52 and 1,464.86 is: 2,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.52 : 7,124.52 = 1,464.86 : x
  2. Step 2: Convert to fraction form
    4,749.52/7,124.52 = 1,464.86/x
  3. Step 3: Cross multiply
    4,749.52x = 7,124.52 × 1,464.86
  4. Step 4: Simplify right side
    4,749.52x = 10,436,424.37
  5. Step 5: Solve for x
    x = 10,436,424.37/4,749.52
  6. Step 6: Final answer
    x = 2,197.36

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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.