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Finding the Fourth Proportional to 5,801.40, 8,699.81 and 2,102.54

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Solution

The fourth proportional to 5,801.40, 8,699.81 and 2,102.54 is: 3,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.40 : 8,699.81 = 2,102.54 : x
  2. Step 2: Convert to fraction form
    5,801.40/8,699.81 = 2,102.54/x
  3. Step 3: Cross multiply
    5,801.40x = 8,699.81 × 2,102.54
  4. Step 4: Simplify right side
    5,801.40x = 18,291,644.51
  5. Step 5: Solve for x
    x = 18,291,644.51/5,801.40
  6. Step 6: Final answer
    x = 3,152.97

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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.