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Finding the Fourth Proportional to 4,971.64, 6,862.14 and 2,876.98

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Solution

The fourth proportional to 4,971.64, 6,862.14 and 2,876.98 is: 3,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.64 : 6,862.14 = 2,876.98 : x
  2. Step 2: Convert to fraction form
    4,971.64/6,862.14 = 2,876.98/x
  3. Step 3: Cross multiply
    4,971.64x = 6,862.14 × 2,876.98
  4. Step 4: Simplify right side
    4,971.64x = 19,742,239.54
  5. Step 5: Solve for x
    x = 19,742,239.54/4,971.64
  6. Step 6: Final answer
    x = 3,970.97

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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.