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Finding the Fourth Proportional to 4,007.00, 6,008.10 and 1,664.18

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Solution

The fourth proportional to 4,007.00, 6,008.10 and 1,664.18 is: 2,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.00 : 6,008.10 = 1,664.18 : x
  2. Step 2: Convert to fraction form
    4,007.00/6,008.10 = 1,664.18/x
  3. Step 3: Cross multiply
    4,007.00x = 6,008.10 × 1,664.18
  4. Step 4: Simplify right side
    4,007.00x = 9,998,546.11
  5. Step 5: Solve for x
    x = 9,998,546.11/4,007.00
  6. Step 6: Final answer
    x = 2,495.27

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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.