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Finding the Fourth Proportional to 5,070.22, 6,997.10 and 2,832.50

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Solution

The fourth proportional to 5,070.22, 6,997.10 and 2,832.50 is: 3,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.22 : 6,997.10 = 2,832.50 : x
  2. Step 2: Convert to fraction form
    5,070.22/6,997.10 = 2,832.50/x
  3. Step 3: Cross multiply
    5,070.22x = 6,997.10 × 2,832.50
  4. Step 4: Simplify right side
    5,070.22x = 19,819,289.08
  5. Step 5: Solve for x
    x = 19,819,289.08/5,070.22
  6. Step 6: Final answer
    x = 3,908.96

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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.