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Finding the Fourth Proportional to 5,066.40, 7,594.44 and 1,945.61

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Solution

The fourth proportional to 5,066.40, 7,594.44 and 1,945.61 is: 2,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.40 : 7,594.44 = 1,945.61 : x
  2. Step 2: Convert to fraction form
    5,066.40/7,594.44 = 1,945.61/x
  3. Step 3: Cross multiply
    5,066.40x = 7,594.44 × 1,945.61
  4. Step 4: Simplify right side
    5,066.40x = 14,775,818.41
  5. Step 5: Solve for x
    x = 14,775,818.41/5,066.40
  6. Step 6: Final answer
    x = 2,916.43

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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.