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Finding the Fourth Proportional to 5,102.90, 7,654.39 and 1,405.33

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Solution

The fourth proportional to 5,102.90, 7,654.39 and 1,405.33 is: 2,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.90 : 7,654.39 = 1,405.33 : x
  2. Step 2: Convert to fraction form
    5,102.90/7,654.39 = 1,405.33/x
  3. Step 3: Cross multiply
    5,102.90x = 7,654.39 × 1,405.33
  4. Step 4: Simplify right side
    5,102.90x = 10,756,936.87
  5. Step 5: Solve for x
    x = 10,756,936.87/5,102.90
  6. Step 6: Final answer
    x = 2,108.01

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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.