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Finding the Fourth Proportional to 5,724.32, 8,586.56 and 1,564.46

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Solution

The fourth proportional to 5,724.32, 8,586.56 and 1,564.46 is: 2,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.32 : 8,586.56 = 1,564.46 : x
  2. Step 2: Convert to fraction form
    5,724.32/8,586.56 = 1,564.46/x
  3. Step 3: Cross multiply
    5,724.32x = 8,586.56 × 1,564.46
  4. Step 4: Simplify right side
    5,724.32x = 13,433,362.33
  5. Step 5: Solve for x
    x = 13,433,362.33/5,724.32
  6. Step 6: Final answer
    x = 2,346.72

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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.