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Finding the Fourth Proportional to 4,008.64, 6,018 and 2,914.24

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Solution

The fourth proportional to 4,008.64, 6,018 and 2,914.24 is: 4,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008.64 : 6,018 = 2,914.24 : x
  2. Step 2: Convert to fraction form
    4,008.64/6,018 = 2,914.24/x
  3. Step 3: Cross multiply
    4,008.64x = 6,018 × 2,914.24
  4. Step 4: Simplify right side
    4,008.64x = 17,537,896.32
  5. Step 5: Solve for x
    x = 17,537,896.32/4,008.64
  6. Step 6: Final answer
    x = 4,375.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.