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Finding the Fourth Proportional to 4,311.61, 6,462.00 and 1,843.53

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Solution

The fourth proportional to 4,311.61, 6,462.00 and 1,843.53 is: 2,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.61 : 6,462.00 = 1,843.53 : x
  2. Step 2: Convert to fraction form
    4,311.61/6,462.00 = 1,843.53/x
  3. Step 3: Cross multiply
    4,311.61x = 6,462.00 × 1,843.53
  4. Step 4: Simplify right side
    4,311.61x = 11,912,897.77
  5. Step 5: Solve for x
    x = 11,912,897.77/4,311.61
  6. Step 6: Final answer
    x = 2,762.98

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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.