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Finding the Fourth Proportional to 4,388.64, 6,583.68 and 1,619.16

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Solution

The fourth proportional to 4,388.64, 6,583.68 and 1,619.16 is: 2,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,388.64 : 6,583.68 = 1,619.16 : x
  2. Step 2: Convert to fraction form
    4,388.64/6,583.68 = 1,619.16/x
  3. Step 3: Cross multiply
    4,388.64x = 6,583.68 × 1,619.16
  4. Step 4: Simplify right side
    4,388.64x = 10,660,031.31
  5. Step 5: Solve for x
    x = 10,660,031.31/4,388.64
  6. Step 6: Final answer
    x = 2,429.01

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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.