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Finding the Fourth Proportional to 5,384.70, 8,064.09 and 3,648.06

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Solution

The fourth proportional to 5,384.70, 8,064.09 and 3,648.06 is: 5,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.70 : 8,064.09 = 3,648.06 : x
  2. Step 2: Convert to fraction form
    5,384.70/8,064.09 = 3,648.06/x
  3. Step 3: Cross multiply
    5,384.70x = 8,064.09 × 3,648.06
  4. Step 4: Simplify right side
    5,384.70x = 29,418,284.17
  5. Step 5: Solve for x
    x = 29,418,284.17/5,384.70
  6. Step 6: Final answer
    x = 5,463.31

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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.