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Finding the Fourth Proportional to 4,956.48, 6,840 and 2,861.28

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Solution

The fourth proportional to 4,956.48, 6,840 and 2,861.28 is: 3,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.48 : 6,840 = 2,861.28 : x
  2. Step 2: Convert to fraction form
    4,956.48/6,840 = 2,861.28/x
  3. Step 3: Cross multiply
    4,956.48x = 6,840 × 2,861.28
  4. Step 4: Simplify right side
    4,956.48x = 19,571,155.20
  5. Step 5: Solve for x
    x = 19,571,155.20/4,956.48
  6. Step 6: Final answer
    x = 3,948.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.