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Finding the Fourth Proportional to 4,830.92, 7,246.14 and 2,643.92

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Solution

The fourth proportional to 4,830.92, 7,246.14 and 2,643.92 is: 3,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.92 : 7,246.14 = 2,643.92 : x
  2. Step 2: Convert to fraction form
    4,830.92/7,246.14 = 2,643.92/x
  3. Step 3: Cross multiply
    4,830.92x = 7,246.14 × 2,643.92
  4. Step 4: Simplify right side
    4,830.92x = 19,158,214.47
  5. Step 5: Solve for x
    x = 19,158,214.47/4,830.92
  6. Step 6: Final answer
    x = 3,965.75

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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.