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Finding the Fourth Proportional to 4,864.59, 7,297.17 and 1,533.32

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Solution

The fourth proportional to 4,864.59, 7,297.17 and 1,533.32 is: 2,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.59 : 7,297.17 = 1,533.32 : x
  2. Step 2: Convert to fraction form
    4,864.59/7,297.17 = 1,533.32/x
  3. Step 3: Cross multiply
    4,864.59x = 7,297.17 × 1,533.32
  4. Step 4: Simplify right side
    4,864.59x = 11,188,896.70
  5. Step 5: Solve for x
    x = 11,188,896.70/4,864.59
  6. Step 6: Final answer
    x = 2,300.07

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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.