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Finding the Fourth Proportional to 4,864.32, 7,282.56 and 4,558.08

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Solution

The fourth proportional to 4,864.32, 7,282.56 and 4,558.08 is: 6,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.32 : 7,282.56 = 4,558.08 : x
  2. Step 2: Convert to fraction form
    4,864.32/7,282.56 = 4,558.08/x
  3. Step 3: Cross multiply
    4,864.32x = 7,282.56 × 4,558.08
  4. Step 4: Simplify right side
    4,864.32x = 33,194,491.08
  5. Step 5: Solve for x
    x = 33,194,491.08/4,864.32
  6. Step 6: Final answer
    x = 6,824.08

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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.