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Finding the Fourth Proportional to 6,154.83, 8,494.64 and 3,503.09

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Solution

The fourth proportional to 6,154.83, 8,494.64 and 3,503.09 is: 4,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.83 : 8,494.64 = 3,503.09 : x
  2. Step 2: Convert to fraction form
    6,154.83/8,494.64 = 3,503.09/x
  3. Step 3: Cross multiply
    6,154.83x = 8,494.64 × 3,503.09
  4. Step 4: Simplify right side
    6,154.83x = 29,757,518.43
  5. Step 5: Solve for x
    x = 29,757,518.43/6,154.83
  6. Step 6: Final answer
    x = 4,834.82

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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.