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Finding the Fourth Proportional to 4,008.66, 6,009.75 and 1,670.43

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Solution

The fourth proportional to 4,008.66, 6,009.75 and 1,670.43 is: 2,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008.66 : 6,009.75 = 1,670.43 : x
  2. Step 2: Convert to fraction form
    4,008.66/6,009.75 = 1,670.43/x
  3. Step 3: Cross multiply
    4,008.66x = 6,009.75 × 1,670.43
  4. Step 4: Simplify right side
    4,008.66x = 10,038,833.82
  5. Step 5: Solve for x
    x = 10,038,833.82/4,008.66
  6. Step 6: Final answer
    x = 2,504.29

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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.