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Finding the Fourth Proportional to 3,435.93, 4,742.69 and 2,092.28

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Solution

The fourth proportional to 3,435.93, 4,742.69 and 2,092.28 is: 2,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.93 : 4,742.69 = 2,092.28 : x
  2. Step 2: Convert to fraction form
    3,435.93/4,742.69 = 2,092.28/x
  3. Step 3: Cross multiply
    3,435.93x = 4,742.69 × 2,092.28
  4. Step 4: Simplify right side
    3,435.93x = 9,923,001.26
  5. Step 5: Solve for x
    x = 9,923,001.26/3,435.93
  6. Step 6: Final answer
    x = 2,888.01

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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.