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Finding the Fourth Proportional to 3,133.74, 4,700.44 and 1,284.39

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Solution

The fourth proportional to 3,133.74, 4,700.44 and 1,284.39 is: 1,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.74 : 4,700.44 = 1,284.39 : x
  2. Step 2: Convert to fraction form
    3,133.74/4,700.44 = 1,284.39/x
  3. Step 3: Cross multiply
    3,133.74x = 4,700.44 × 1,284.39
  4. Step 4: Simplify right side
    3,133.74x = 6,037,198.13
  5. Step 5: Solve for x
    x = 6,037,198.13/3,133.74
  6. Step 6: Final answer
    x = 1,926.52

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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.