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Finding the Fourth Proportional to 4,652.15, 6,979.10 and 1,533.06

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Solution

The fourth proportional to 4,652.15, 6,979.10 and 1,533.06 is: 2,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.15 : 6,979.10 = 1,533.06 : x
  2. Step 2: Convert to fraction form
    4,652.15/6,979.10 = 1,533.06/x
  3. Step 3: Cross multiply
    4,652.15x = 6,979.10 × 1,533.06
  4. Step 4: Simplify right side
    4,652.15x = 10,699,371.38
  5. Step 5: Solve for x
    x = 10,699,371.38/4,652.15
  6. Step 6: Final answer
    x = 2,299.88

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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.