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Finding the Fourth Proportional to 3,036.57, 4,555.14 and 1,187.82

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Solution

The fourth proportional to 3,036.57, 4,555.14 and 1,187.82 is: 1,781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.57 : 4,555.14 = 1,187.82 : x
  2. Step 2: Convert to fraction form
    3,036.57/4,555.14 = 1,187.82/x
  3. Step 3: Cross multiply
    3,036.57x = 4,555.14 × 1,187.82
  4. Step 4: Simplify right side
    3,036.57x = 5,410,686.39
  5. Step 5: Solve for x
    x = 5,410,686.39/3,036.57
  6. Step 6: Final answer
    x = 1,781.84

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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.