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Finding the Fourth Proportional to 4,974.12, 7,462.34 and 1,854.14

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Solution

The fourth proportional to 4,974.12, 7,462.34 and 1,854.14 is: 2,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.12 : 7,462.34 = 1,854.14 : x
  2. Step 2: Convert to fraction form
    4,974.12/7,462.34 = 1,854.14/x
  3. Step 3: Cross multiply
    4,974.12x = 7,462.34 × 1,854.14
  4. Step 4: Simplify right side
    4,974.12x = 13,836,176.51
  5. Step 5: Solve for x
    x = 13,836,176.51/4,974.12
  6. Step 6: Final answer
    x = 2,781.63

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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.