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Finding the Fourth Proportional to 4,296.36, 6,444.42 and 1,987.86

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Solution

The fourth proportional to 4,296.36, 6,444.42 and 1,987.86 is: 2,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.36 : 6,444.42 = 1,987.86 : x
  2. Step 2: Convert to fraction form
    4,296.36/6,444.42 = 1,987.86/x
  3. Step 3: Cross multiply
    4,296.36x = 6,444.42 × 1,987.86
  4. Step 4: Simplify right side
    4,296.36x = 12,810,604.74
  5. Step 5: Solve for x
    x = 12,810,604.74/4,296.36
  6. Step 6: Final answer
    x = 2,981.73

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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.