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Finding the Fourth Proportional to 4,957.01, 6,841.38 and 3,069.20

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Solution

The fourth proportional to 4,957.01, 6,841.38 and 3,069.20 is: 4,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.01 : 6,841.38 = 3,069.20 : x
  2. Step 2: Convert to fraction form
    4,957.01/6,841.38 = 3,069.20/x
  3. Step 3: Cross multiply
    4,957.01x = 6,841.38 × 3,069.20
  4. Step 4: Simplify right side
    4,957.01x = 20,997,563.50
  5. Step 5: Solve for x
    x = 20,997,563.50/4,957.01
  6. Step 6: Final answer
    x = 4,235.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.