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Finding the Fourth Proportional to 5,103.14, 7,655.44 and 1,815.45

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Solution

The fourth proportional to 5,103.14, 7,655.44 and 1,815.45 is: 2,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.14 : 7,655.44 = 1,815.45 : x
  2. Step 2: Convert to fraction form
    5,103.14/7,655.44 = 1,815.45/x
  3. Step 3: Cross multiply
    5,103.14x = 7,655.44 × 1,815.45
  4. Step 4: Simplify right side
    5,103.14x = 13,898,068.55
  5. Step 5: Solve for x
    x = 13,898,068.55/5,103.14
  6. Step 6: Final answer
    x = 2,723.43

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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.