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Finding the Fourth Proportional to 4,773.66, 7,162.31 and 1,854.01

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Solution

The fourth proportional to 4,773.66, 7,162.31 and 1,854.01 is: 2,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.66 : 7,162.31 = 1,854.01 : x
  2. Step 2: Convert to fraction form
    4,773.66/7,162.31 = 1,854.01/x
  3. Step 3: Cross multiply
    4,773.66x = 7,162.31 × 1,854.01
  4. Step 4: Simplify right side
    4,773.66x = 13,278,994.36
  5. Step 5: Solve for x
    x = 13,278,994.36/4,773.66
  6. Step 6: Final answer
    x = 2,781.72

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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.