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Finding the Fourth Proportional to 3,998.40, 6,000.64 and 1,403.52

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Solution

The fourth proportional to 3,998.40, 6,000.64 and 1,403.52 is: 2,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.40 : 6,000.64 = 1,403.52 : x
  2. Step 2: Convert to fraction form
    3,998.40/6,000.64 = 1,403.52/x
  3. Step 3: Cross multiply
    3,998.40x = 6,000.64 × 1,403.52
  4. Step 4: Simplify right side
    3,998.40x = 8,422,018.25
  5. Step 5: Solve for x
    x = 8,422,018.25/3,998.40
  6. Step 6: Final answer
    x = 2,106.35

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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.