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Finding the Fourth Proportional to 5,451.60, 8,172.54 and 4,534.68

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Solution

The fourth proportional to 5,451.60, 8,172.54 and 4,534.68 is: 6,797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.60 : 8,172.54 = 4,534.68 : x
  2. Step 2: Convert to fraction form
    5,451.60/8,172.54 = 4,534.68/x
  3. Step 3: Cross multiply
    5,451.60x = 8,172.54 × 4,534.68
  4. Step 4: Simplify right side
    5,451.60x = 37,059,853.69
  5. Step 5: Solve for x
    x = 37,059,853.69/5,451.60
  6. Step 6: Final answer
    x = 6,797.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.