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Finding the Fourth Proportional to 4,968.76, 6,858 and 3,889.92

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Solution

The fourth proportional to 4,968.76, 6,858 and 3,889.92 is: 5,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.76 : 6,858 = 3,889.92 : x
  2. Step 2: Convert to fraction form
    4,968.76/6,858 = 3,889.92/x
  3. Step 3: Cross multiply
    4,968.76x = 6,858 × 3,889.92
  4. Step 4: Simplify right side
    4,968.76x = 26,677,071.36
  5. Step 5: Solve for x
    x = 26,677,071.36/4,968.76
  6. Step 6: Final answer
    x = 5,368.96

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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.