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Finding the Fourth Proportional to 4,724.32, 7,074.96 and 4,586.08

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Solution

The fourth proportional to 4,724.32, 7,074.96 and 4,586.08 is: 6,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.32 : 7,074.96 = 4,586.08 : x
  2. Step 2: Convert to fraction form
    4,724.32/7,074.96 = 4,586.08/x
  3. Step 3: Cross multiply
    4,724.32x = 7,074.96 × 4,586.08
  4. Step 4: Simplify right side
    4,724.32x = 32,446,332.56
  5. Step 5: Solve for x
    x = 32,446,332.56/4,724.32
  6. Step 6: Final answer
    x = 6,867.94

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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.