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Finding the Fourth Proportional to 5,094.27, 7,641.90 and 1,808.28

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Solution

The fourth proportional to 5,094.27, 7,641.90 and 1,808.28 is: 2,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.27 : 7,641.90 = 1,808.28 : x
  2. Step 2: Convert to fraction form
    5,094.27/7,641.90 = 1,808.28/x
  3. Step 3: Cross multiply
    5,094.27x = 7,641.90 × 1,808.28
  4. Step 4: Simplify right side
    5,094.27x = 13,818,694.93
  5. Step 5: Solve for x
    x = 13,818,694.93/5,094.27
  6. Step 6: Final answer
    x = 2,712.60

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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.