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Finding the Fourth Proportional to 4,001.64, 6,003.24 and 1,406.40

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Solution

The fourth proportional to 4,001.64, 6,003.24 and 1,406.40 is: 2,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.64 : 6,003.24 = 1,406.40 : x
  2. Step 2: Convert to fraction form
    4,001.64/6,003.24 = 1,406.40/x
  3. Step 3: Cross multiply
    4,001.64x = 6,003.24 × 1,406.40
  4. Step 4: Simplify right side
    4,001.64x = 8,442,956.74
  5. Step 5: Solve for x
    x = 8,442,956.74/4,001.64
  6. Step 6: Final answer
    x = 2,109.87

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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.