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Finding the Fourth Proportional to 5,103.02, 7,654.60 and 1,405.22

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Solution

The fourth proportional to 5,103.02, 7,654.60 and 1,405.22 is: 2,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.02 : 7,654.60 = 1,405.22 : x
  2. Step 2: Convert to fraction form
    5,103.02/7,654.60 = 1,405.22/x
  3. Step 3: Cross multiply
    5,103.02x = 7,654.60 × 1,405.22
  4. Step 4: Simplify right side
    5,103.02x = 10,756,397.01
  5. Step 5: Solve for x
    x = 10,756,397.01/5,103.02
  6. Step 6: Final answer
    x = 2,107.85

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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.