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Finding the Fourth Proportional to 3,658.41, 5,476.23 and 1,988.36

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Solution

The fourth proportional to 3,658.41, 5,476.23 and 1,988.36 is: 2,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.41 : 5,476.23 = 1,988.36 : x
  2. Step 2: Convert to fraction form
    3,658.41/5,476.23 = 1,988.36/x
  3. Step 3: Cross multiply
    3,658.41x = 5,476.23 × 1,988.36
  4. Step 4: Simplify right side
    3,658.41x = 10,888,689.30
  5. Step 5: Solve for x
    x = 10,888,689.30/3,658.41
  6. Step 6: Final answer
    x = 2,976.35

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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.