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Finding the Fourth Proportional to 6,685.60, 10,030.08 and 3,400.48

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Solution

The fourth proportional to 6,685.60, 10,030.08 and 3,400.48 is: 5,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.60 : 10,030.08 = 3,400.48 : x
  2. Step 2: Convert to fraction form
    6,685.60/10,030.08 = 3,400.48/x
  3. Step 3: Cross multiply
    6,685.60x = 10,030.08 × 3,400.48
  4. Step 4: Simplify right side
    6,685.60x = 34,107,086.44
  5. Step 5: Solve for x
    x = 34,107,086.44/6,685.60
  6. Step 6: Final answer
    x = 5,101.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.