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Finding the Fourth Proportional to 4,297.99, 6,445.50 and 2,219.08

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Solution

The fourth proportional to 4,297.99, 6,445.50 and 2,219.08 is: 3,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.99 : 6,445.50 = 2,219.08 : x
  2. Step 2: Convert to fraction form
    4,297.99/6,445.50 = 2,219.08/x
  3. Step 3: Cross multiply
    4,297.99x = 6,445.50 × 2,219.08
  4. Step 4: Simplify right side
    4,297.99x = 14,303,080.14
  5. Step 5: Solve for x
    x = 14,303,080.14/4,297.99
  6. Step 6: Final answer
    x = 3,327.85

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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.