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Finding the Fourth Proportional to 4,296.28, 6,444.06 and 1,987.78

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Solution

The fourth proportional to 4,296.28, 6,444.06 and 1,987.78 is: 2,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.28 : 6,444.06 = 1,987.78 : x
  2. Step 2: Convert to fraction form
    4,296.28/6,444.06 = 1,987.78/x
  3. Step 3: Cross multiply
    4,296.28x = 6,444.06 × 1,987.78
  4. Step 4: Simplify right side
    4,296.28x = 12,809,373.59
  5. Step 5: Solve for x
    x = 12,809,373.59/4,296.28
  6. Step 6: Final answer
    x = 2,981.50

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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.