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Finding the Fourth Proportional to 4,856.38, 7,283.15 and 1,894.16

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Solution

The fourth proportional to 4,856.38, 7,283.15 and 1,894.16 is: 2,840.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.38 : 7,283.15 = 1,894.16 : x
  2. Step 2: Convert to fraction form
    4,856.38/7,283.15 = 1,894.16/x
  3. Step 3: Cross multiply
    4,856.38x = 7,283.15 × 1,894.16
  4. Step 4: Simplify right side
    4,856.38x = 13,795,441.93
  5. Step 5: Solve for x
    x = 13,795,441.93/4,856.38
  6. Step 6: Final answer
    x = 2,840.69

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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.