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Finding the Fourth Proportional to 5,124.36, 7,071.74 and 2,886.31

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Solution

The fourth proportional to 5,124.36, 7,071.74 and 2,886.31 is: 3,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.36 : 7,071.74 = 2,886.31 : x
  2. Step 2: Convert to fraction form
    5,124.36/7,071.74 = 2,886.31/x
  3. Step 3: Cross multiply
    5,124.36x = 7,071.74 × 2,886.31
  4. Step 4: Simplify right side
    5,124.36x = 20,411,233.88
  5. Step 5: Solve for x
    x = 20,411,233.88/5,124.36
  6. Step 6: Final answer
    x = 3,983.18

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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.