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Finding the Fourth Proportional to 6,685.88, 10,038.67 and 3,730.09

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Solution

The fourth proportional to 6,685.88, 10,038.67 and 3,730.09 is: 5,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.88 : 10,038.67 = 3,730.09 : x
  2. Step 2: Convert to fraction form
    6,685.88/10,038.67 = 3,730.09/x
  3. Step 3: Cross multiply
    6,685.88x = 10,038.67 × 3,730.09
  4. Step 4: Simplify right side
    6,685.88x = 37,445,142.58
  5. Step 5: Solve for x
    x = 37,445,142.58/6,685.88
  6. Step 6: Final answer
    x = 5,600.63

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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.