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Finding the Fourth Proportional to 3,586.23, 4,935.20 and 3,564.99

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Solution

The fourth proportional to 3,586.23, 4,935.20 and 3,564.99 is: 4,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.23 : 4,935.20 = 3,564.99 : x
  2. Step 2: Convert to fraction form
    3,586.23/4,935.20 = 3,564.99/x
  3. Step 3: Cross multiply
    3,586.23x = 4,935.20 × 3,564.99
  4. Step 4: Simplify right side
    3,586.23x = 17,593,920.82
  5. Step 5: Solve for x
    x = 17,593,920.82/3,586.23
  6. Step 6: Final answer
    x = 4,905.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.