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Finding the Fourth Proportional to 5,094.28, 7,642.64 and 1,807.66

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Solution

The fourth proportional to 5,094.28, 7,642.64 and 1,807.66 is: 2,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.28 : 7,642.64 = 1,807.66 : x
  2. Step 2: Convert to fraction form
    5,094.28/7,642.64 = 1,807.66/x
  3. Step 3: Cross multiply
    5,094.28x = 7,642.64 × 1,807.66
  4. Step 4: Simplify right side
    5,094.28x = 13,815,294.62
  5. Step 5: Solve for x
    x = 13,815,294.62/5,094.28
  6. Step 6: Final answer
    x = 2,711.92

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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.