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Finding the Fourth Proportional to 3,678.47, 5,517.40 and 1,703.69

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Solution

The fourth proportional to 3,678.47, 5,517.40 and 1,703.69 is: 2,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.47 : 5,517.40 = 1,703.69 : x
  2. Step 2: Convert to fraction form
    3,678.47/5,517.40 = 1,703.69/x
  3. Step 3: Cross multiply
    3,678.47x = 5,517.40 × 1,703.69
  4. Step 4: Simplify right side
    3,678.47x = 9,399,939.21
  5. Step 5: Solve for x
    x = 9,399,939.21/3,678.47
  6. Step 6: Final answer
    x = 2,555.39

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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.