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Finding the Fourth Proportional to 3,905.50, 5,392.26 and 2,897.47

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Solution

The fourth proportional to 3,905.50, 5,392.26 and 2,897.47 is: 4,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.50 : 5,392.26 = 2,897.47 : x
  2. Step 2: Convert to fraction form
    3,905.50/5,392.26 = 2,897.47/x
  3. Step 3: Cross multiply
    3,905.50x = 5,392.26 × 2,897.47
  4. Step 4: Simplify right side
    3,905.50x = 15,623,870.13
  5. Step 5: Solve for x
    x = 15,623,870.13/3,905.50
  6. Step 6: Final answer
    x = 4,000.48

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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.