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Finding the Fourth Proportional to 4,296.16, 6,441 and 1,829.38

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Solution

The fourth proportional to 4,296.16, 6,441 and 1,829.38 is: 2,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.16 : 6,441 = 1,829.38 : x
  2. Step 2: Convert to fraction form
    4,296.16/6,441 = 1,829.38/x
  3. Step 3: Cross multiply
    4,296.16x = 6,441 × 1,829.38
  4. Step 4: Simplify right side
    4,296.16x = 11,783,036.58
  5. Step 5: Solve for x
    x = 11,783,036.58/4,296.16
  6. Step 6: Final answer
    x = 2,742.69

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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.