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Finding the Fourth Proportional to 4,937.41, 7,406.50 and 1,650.52

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Solution

The fourth proportional to 4,937.41, 7,406.50 and 1,650.52 is: 2,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.41 : 7,406.50 = 1,650.52 : x
  2. Step 2: Convert to fraction form
    4,937.41/7,406.50 = 1,650.52/x
  3. Step 3: Cross multiply
    4,937.41x = 7,406.50 × 1,650.52
  4. Step 4: Simplify right side
    4,937.41x = 12,224,539.35
  5. Step 5: Solve for x
    x = 12,224,539.35/4,937.41
  6. Step 6: Final answer
    x = 2,475.90

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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.