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Finding the Fourth Proportional to 5,070.34, 6,997 and 2,832.26

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Solution

The fourth proportional to 5,070.34, 6,997 and 2,832.26 is: 3,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.34 : 6,997 = 2,832.26 : x
  2. Step 2: Convert to fraction form
    5,070.34/6,997 = 2,832.26/x
  3. Step 3: Cross multiply
    5,070.34x = 6,997 × 2,832.26
  4. Step 4: Simplify right side
    5,070.34x = 19,817,323.22
  5. Step 5: Solve for x
    x = 19,817,323.22/5,070.34
  6. Step 6: Final answer
    x = 3,908.48

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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.