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Finding the Fourth Proportional to 4,462.56, 6,664.54 and 3,586.40

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Solution

The fourth proportional to 4,462.56, 6,664.54 and 3,586.40 is: 5,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.56 : 6,664.54 = 3,586.40 : x
  2. Step 2: Convert to fraction form
    4,462.56/6,664.54 = 3,586.40/x
  3. Step 3: Cross multiply
    4,462.56x = 6,664.54 × 3,586.40
  4. Step 4: Simplify right side
    4,462.56x = 23,901,663.97
  5. Step 5: Solve for x
    x = 23,901,663.97/4,462.56
  6. Step 6: Final answer
    x = 5,356.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.