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Finding the Fourth Proportional to 5,702.47, 8,556.41 and 3,950.17

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Solution

The fourth proportional to 5,702.47, 8,556.41 and 3,950.17 is: 5,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.47 : 8,556.41 = 3,950.17 : x
  2. Step 2: Convert to fraction form
    5,702.47/8,556.41 = 3,950.17/x
  3. Step 3: Cross multiply
    5,702.47x = 8,556.41 × 3,950.17
  4. Step 4: Simplify right side
    5,702.47x = 33,799,274.09
  5. Step 5: Solve for x
    x = 33,799,274.09/5,702.47
  6. Step 6: Final answer
    x = 5,927.13

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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.