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Finding the Fourth Proportional to 4,853.01, 7,285.71 and 4,127.22

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Solution

The fourth proportional to 4,853.01, 7,285.71 and 4,127.22 is: 6,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.01 : 7,285.71 = 4,127.22 : x
  2. Step 2: Convert to fraction form
    4,853.01/7,285.71 = 4,127.22/x
  3. Step 3: Cross multiply
    4,853.01x = 7,285.71 × 4,127.22
  4. Step 4: Simplify right side
    4,853.01x = 30,069,743.50
  5. Step 5: Solve for x
    x = 30,069,743.50/4,853.01
  6. Step 6: Final answer
    x = 6,196.10

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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.