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Finding the Fourth Proportional to 3,586.47, 5,384.24 and 3,420.29

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Solution

The fourth proportional to 3,586.47, 5,384.24 and 3,420.29 is: 5,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.47 : 5,384.24 = 3,420.29 : x
  2. Step 2: Convert to fraction form
    3,586.47/5,384.24 = 3,420.29/x
  3. Step 3: Cross multiply
    3,586.47x = 5,384.24 × 3,420.29
  4. Step 4: Simplify right side
    3,586.47x = 18,415,618.21
  5. Step 5: Solve for x
    x = 18,415,618.21/3,586.47
  6. Step 6: Final answer
    x = 5,134.75

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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.