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Finding the Fourth Proportional to 4,937.13, 7,406.10 and 1,650.22

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Solution

The fourth proportional to 4,937.13, 7,406.10 and 1,650.22 is: 2,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.13 : 7,406.10 = 1,650.22 : x
  2. Step 2: Convert to fraction form
    4,937.13/7,406.10 = 1,650.22/x
  3. Step 3: Cross multiply
    4,937.13x = 7,406.10 × 1,650.22
  4. Step 4: Simplify right side
    4,937.13x = 12,221,675.83
  5. Step 5: Solve for x
    x = 12,221,675.83/4,937.13
  6. Step 6: Final answer
    x = 2,475.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.