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Finding the Fourth Proportional to 5,192.68, 7,155.62 and 4,074.88

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Solution

The fourth proportional to 5,192.68, 7,155.62 and 4,074.88 is: 5,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.68 : 7,155.62 = 4,074.88 : x
  2. Step 2: Convert to fraction form
    5,192.68/7,155.62 = 4,074.88/x
  3. Step 3: Cross multiply
    5,192.68x = 7,155.62 × 4,074.88
  4. Step 4: Simplify right side
    5,192.68x = 29,158,292.83
  5. Step 5: Solve for x
    x = 29,158,292.83/5,192.68
  6. Step 6: Final answer
    x = 5,615.27

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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.