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Finding the Fourth Proportional to 5,657.85, 8,484.04 and 3,318.62

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Solution

The fourth proportional to 5,657.85, 8,484.04 and 3,318.62 is: 4,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.85 : 8,484.04 = 3,318.62 : x
  2. Step 2: Convert to fraction form
    5,657.85/8,484.04 = 3,318.62/x
  3. Step 3: Cross multiply
    5,657.85x = 8,484.04 × 3,318.62
  4. Step 4: Simplify right side
    5,657.85x = 28,155,317.74
  5. Step 5: Solve for x
    x = 28,155,317.74/5,657.85
  6. Step 6: Final answer
    x = 4,976.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.