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Finding the Fourth Proportional to 3,133.53, 4,699.22 and 1,284.12

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Solution

The fourth proportional to 3,133.53, 4,699.22 and 1,284.12 is: 1,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.53 : 4,699.22 = 1,284.12 : x
  2. Step 2: Convert to fraction form
    3,133.53/4,699.22 = 1,284.12/x
  3. Step 3: Cross multiply
    3,133.53x = 4,699.22 × 1,284.12
  4. Step 4: Simplify right side
    3,133.53x = 6,034,355.97
  5. Step 5: Solve for x
    x = 6,034,355.97/3,133.53
  6. Step 6: Final answer
    x = 1,925.74

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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.