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Finding the Fourth Proportional to 6,113.98, 8,437.29 and 3,462.24

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Solution

The fourth proportional to 6,113.98, 8,437.29 and 3,462.24 is: 4,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.98 : 8,437.29 = 3,462.24 : x
  2. Step 2: Convert to fraction form
    6,113.98/8,437.29 = 3,462.24/x
  3. Step 3: Cross multiply
    6,113.98x = 8,437.29 × 3,462.24
  4. Step 4: Simplify right side
    6,113.98x = 29,211,935.91
  5. Step 5: Solve for x
    x = 29,211,935.91/6,113.98
  6. Step 6: Final answer
    x = 4,777.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.