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Finding the Fourth Proportional to 6,089.27, 8,402.56 and 4,496.77

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Solution

The fourth proportional to 6,089.27, 8,402.56 and 4,496.77 is: 6,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.27 : 8,402.56 = 4,496.77 : x
  2. Step 2: Convert to fraction form
    6,089.27/8,402.56 = 4,496.77/x
  3. Step 3: Cross multiply
    6,089.27x = 8,402.56 × 4,496.77
  4. Step 4: Simplify right side
    6,089.27x = 37,784,379.73
  5. Step 5: Solve for x
    x = 37,784,379.73/6,089.27
  6. Step 6: Final answer
    x = 6,205.08

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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.