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Finding the Fourth Proportional to 5,722.18, 7,897.04 and 3,205.11

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Solution

The fourth proportional to 5,722.18, 7,897.04 and 3,205.11 is: 4,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.18 : 7,897.04 = 3,205.11 : x
  2. Step 2: Convert to fraction form
    5,722.18/7,897.04 = 3,205.11/x
  3. Step 3: Cross multiply
    5,722.18x = 7,897.04 × 3,205.11
  4. Step 4: Simplify right side
    5,722.18x = 25,310,881.87
  5. Step 5: Solve for x
    x = 25,310,881.87/5,722.18
  6. Step 6: Final answer
    x = 4,423.29

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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.