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Finding the Fourth Proportional to 3,650.02, 5,476.86 and 1,702.38

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Solution

The fourth proportional to 3,650.02, 5,476.86 and 1,702.38 is: 2,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.02 : 5,476.86 = 1,702.38 : x
  2. Step 2: Convert to fraction form
    3,650.02/5,476.86 = 1,702.38/x
  3. Step 3: Cross multiply
    3,650.02x = 5,476.86 × 1,702.38
  4. Step 4: Simplify right side
    3,650.02x = 9,323,696.93
  5. Step 5: Solve for x
    x = 9,323,696.93/3,650.02
  6. Step 6: Final answer
    x = 2,554.42

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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.