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Finding the Fourth Proportional to 6,206.74, 8,564.72 and 3,518.08

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Solution

The fourth proportional to 6,206.74, 8,564.72 and 3,518.08 is: 4,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.74 : 8,564.72 = 3,518.08 : x
  2. Step 2: Convert to fraction form
    6,206.74/8,564.72 = 3,518.08/x
  3. Step 3: Cross multiply
    6,206.74x = 8,564.72 × 3,518.08
  4. Step 4: Simplify right side
    6,206.74x = 30,131,370.14
  5. Step 5: Solve for x
    x = 30,131,370.14/6,206.74
  6. Step 6: Final answer
    x = 4,854.62

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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.