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Finding the Fourth Proportional to 4,856.36, 7,290 and 1,936.71

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Solution

The fourth proportional to 4,856.36, 7,290 and 1,936.71 is: 2,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.36 : 7,290 = 1,936.71 : x
  2. Step 2: Convert to fraction form
    4,856.36/7,290 = 1,936.71/x
  3. Step 3: Cross multiply
    4,856.36x = 7,290 × 1,936.71
  4. Step 4: Simplify right side
    4,856.36x = 14,118,615.90
  5. Step 5: Solve for x
    x = 14,118,615.90/4,856.36
  6. Step 6: Final answer
    x = 2,907.25

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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.