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Finding the Fourth Proportional to 3,688.07, 5,094.51 and 3,425.63

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Solution

The fourth proportional to 3,688.07, 5,094.51 and 3,425.63 is: 4,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.07 : 5,094.51 = 3,425.63 : x
  2. Step 2: Convert to fraction form
    3,688.07/5,094.51 = 3,425.63/x
  3. Step 3: Cross multiply
    3,688.07x = 5,094.51 × 3,425.63
  4. Step 4: Simplify right side
    3,688.07x = 17,451,906.29
  5. Step 5: Solve for x
    x = 17,451,906.29/3,688.07
  6. Step 6: Final answer
    x = 4,731.99

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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.