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Finding the Fourth Proportional to 5,164.20, 7,746.30 and 3,868.20

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Solution

The fourth proportional to 5,164.20, 7,746.30 and 3,868.20 is: 5,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.20 : 7,746.30 = 3,868.20 : x
  2. Step 2: Convert to fraction form
    5,164.20/7,746.30 = 3,868.20/x
  3. Step 3: Cross multiply
    5,164.20x = 7,746.30 × 3,868.20
  4. Step 4: Simplify right side
    5,164.20x = 29,964,237.66
  5. Step 5: Solve for x
    x = 29,964,237.66/5,164.20
  6. Step 6: Final answer
    x = 5,802.30

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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.