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Finding the Fourth Proportional to 5,720.04, 7,889.40 and 3,831

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Solution

The fourth proportional to 5,720.04, 7,889.40 and 3,831 is: 5,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.04 : 7,889.40 = 3,831 : x
  2. Step 2: Convert to fraction form
    5,720.04/7,889.40 = 3,831/x
  3. Step 3: Cross multiply
    5,720.04x = 7,889.40 × 3,831
  4. Step 4: Simplify right side
    5,720.04x = 30,224,291.40
  5. Step 5: Solve for x
    x = 30,224,291.40/5,720.04
  6. Step 6: Final answer
    x = 5,283.93

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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.