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Finding the Fourth Proportional to 4,297.46, 6,452.16 and 2,219.00

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Solution

The fourth proportional to 4,297.46, 6,452.16 and 2,219.00 is: 3,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.46 : 6,452.16 = 2,219.00 : x
  2. Step 2: Convert to fraction form
    4,297.46/6,452.16 = 2,219.00/x
  3. Step 3: Cross multiply
    4,297.46x = 6,452.16 × 2,219.00
  4. Step 4: Simplify right side
    4,297.46x = 14,317,302.46
  5. Step 5: Solve for x
    x = 14,317,302.46/4,297.46
  6. Step 6: Final answer
    x = 3,331.58

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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.