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Finding the Fourth Proportional to 5,166.24, 7,129.62 and 2,928.22

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Solution

The fourth proportional to 5,166.24, 7,129.62 and 2,928.22 is: 4,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.24 : 7,129.62 = 2,928.22 : x
  2. Step 2: Convert to fraction form
    5,166.24/7,129.62 = 2,928.22/x
  3. Step 3: Cross multiply
    5,166.24x = 7,129.62 × 2,928.22
  4. Step 4: Simplify right side
    5,166.24x = 20,877,095.88
  5. Step 5: Solve for x
    x = 20,877,095.88/5,166.24
  6. Step 6: Final answer
    x = 4,041.06

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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.