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Finding the Fourth Proportional to 4,165.48, 6,244.08 and 2,317.44

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Solution

The fourth proportional to 4,165.48, 6,244.08 and 2,317.44 is: 3,473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.48 : 6,244.08 = 2,317.44 : x
  2. Step 2: Convert to fraction form
    4,165.48/6,244.08 = 2,317.44/x
  3. Step 3: Cross multiply
    4,165.48x = 6,244.08 × 2,317.44
  4. Step 4: Simplify right side
    4,165.48x = 14,470,280.76
  5. Step 5: Solve for x
    x = 14,470,280.76/4,165.48
  6. Step 6: Final answer
    x = 3,473.86

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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.