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Finding the Fourth Proportional to 4,281.52, 6,419.50 and 2,816.22

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Solution

The fourth proportional to 4,281.52, 6,419.50 and 2,816.22 is: 4,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.52 : 6,419.50 = 2,816.22 : x
  2. Step 2: Convert to fraction form
    4,281.52/6,419.50 = 2,816.22/x
  3. Step 3: Cross multiply
    4,281.52x = 6,419.50 × 2,816.22
  4. Step 4: Simplify right side
    4,281.52x = 18,078,724.29
  5. Step 5: Solve for x
    x = 18,078,724.29/4,281.52
  6. Step 6: Final answer
    x = 4,222.50

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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.