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Finding the Fourth Proportional to 7,001.60, 9,662.10 and 3,857.90

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Solution

The fourth proportional to 7,001.60, 9,662.10 and 3,857.90 is: 5,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.60 : 9,662.10 = 3,857.90 : x
  2. Step 2: Convert to fraction form
    7,001.60/9,662.10 = 3,857.90/x
  3. Step 3: Cross multiply
    7,001.60x = 9,662.10 × 3,857.90
  4. Step 4: Simplify right side
    7,001.60x = 37,275,415.59
  5. Step 5: Solve for x
    x = 37,275,415.59/7,001.60
  6. Step 6: Final answer
    x = 5,323.84

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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.