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Finding the Fourth Proportional to 6,101.40, 8,420.12 and 3,412.55

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Solution

The fourth proportional to 6,101.40, 8,420.12 and 3,412.55 is: 4,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.40 : 8,420.12 = 3,412.55 : x
  2. Step 2: Convert to fraction form
    6,101.40/8,420.12 = 3,412.55/x
  3. Step 3: Cross multiply
    6,101.40x = 8,420.12 × 3,412.55
  4. Step 4: Simplify right side
    6,101.40x = 28,734,080.51
  5. Step 5: Solve for x
    x = 28,734,080.51/6,101.40
  6. Step 6: Final answer
    x = 4,709.42

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