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Finding the Fourth Proportional to 6,316.57, 8,716.92 and 3,484.05

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Solution

The fourth proportional to 6,316.57, 8,716.92 and 3,484.05 is: 4,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.57 : 8,716.92 = 3,484.05 : x
  2. Step 2: Convert to fraction form
    6,316.57/8,716.92 = 3,484.05/x
  3. Step 3: Cross multiply
    6,316.57x = 8,716.92 × 3,484.05
  4. Step 4: Simplify right side
    6,316.57x = 30,370,185.13
  5. Step 5: Solve for x
    x = 30,370,185.13/6,316.57
  6. Step 6: Final answer
    x = 4,808.02

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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.