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Finding the Fourth Proportional to 5,345.64, 8,018.16 and 1,449.78

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Solution

The fourth proportional to 5,345.64, 8,018.16 and 1,449.78 is: 2,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.64 : 8,018.16 = 1,449.78 : x
  2. Step 2: Convert to fraction form
    5,345.64/8,018.16 = 1,449.78/x
  3. Step 3: Cross multiply
    5,345.64x = 8,018.16 × 1,449.78
  4. Step 4: Simplify right side
    5,345.64x = 11,624,568.00
  5. Step 5: Solve for x
    x = 11,624,568.00/5,345.64
  6. Step 6: Final answer
    x = 2,174.59

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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.