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Finding the Fourth Proportional to 6,171.65, 8,513.34 and 3,518.60

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Solution

The fourth proportional to 6,171.65, 8,513.34 and 3,518.60 is: 4,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.65 : 8,513.34 = 3,518.60 : x
  2. Step 2: Convert to fraction form
    6,171.65/8,513.34 = 3,518.60/x
  3. Step 3: Cross multiply
    6,171.65x = 8,513.34 × 3,518.60
  4. Step 4: Simplify right side
    6,171.65x = 29,955,038.12
  5. Step 5: Solve for x
    x = 29,955,038.12/6,171.65
  6. Step 6: Final answer
    x = 4,853.65

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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.