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Finding the Fourth Proportional to 6,421.25, 8,862.27 and 3,770.12

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Solution

The fourth proportional to 6,421.25, 8,862.27 and 3,770.12 is: 5,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.25 : 8,862.27 = 3,770.12 : x
  2. Step 2: Convert to fraction form
    6,421.25/8,862.27 = 3,770.12/x
  3. Step 3: Cross multiply
    6,421.25x = 8,862.27 × 3,770.12
  4. Step 4: Simplify right side
    6,421.25x = 33,411,821.37
  5. Step 5: Solve for x
    x = 33,411,821.37/6,421.25
  6. Step 6: Final answer
    x = 5,203.32

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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.