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Finding the Fourth Proportional to 3,485.17, 5,246.77 and 3,178.99

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Solution

The fourth proportional to 3,485.17, 5,246.77 and 3,178.99 is: 4,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.17 : 5,246.77 = 3,178.99 : x
  2. Step 2: Convert to fraction form
    3,485.17/5,246.77 = 3,178.99/x
  3. Step 3: Cross multiply
    3,485.17x = 5,246.77 × 3,178.99
  4. Step 4: Simplify right side
    3,485.17x = 16,679,429.36
  5. Step 5: Solve for x
    x = 16,679,429.36/3,485.17
  6. Step 6: Final answer
    x = 4,785.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.