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Finding the Fourth Proportional to 4,384.13, 6,576.64 and 1,264.22

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Solution

The fourth proportional to 4,384.13, 6,576.64 and 1,264.22 is: 1,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.13 : 6,576.64 = 1,264.22 : x
  2. Step 2: Convert to fraction form
    4,384.13/6,576.64 = 1,264.22/x
  3. Step 3: Cross multiply
    4,384.13x = 6,576.64 × 1,264.22
  4. Step 4: Simplify right side
    4,384.13x = 8,314,283.78
  5. Step 5: Solve for x
    x = 8,314,283.78/4,384.13
  6. Step 6: Final answer
    x = 1,896.45

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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.