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Finding the Fourth Proportional to 5,742.88, 7,925.46 and 3,224.86

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Solution

The fourth proportional to 5,742.88, 7,925.46 and 3,224.86 is: 4,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.88 : 7,925.46 = 3,224.86 : x
  2. Step 2: Convert to fraction form
    5,742.88/7,925.46 = 3,224.86/x
  3. Step 3: Cross multiply
    5,742.88x = 7,925.46 × 3,224.86
  4. Step 4: Simplify right side
    5,742.88x = 25,558,498.94
  5. Step 5: Solve for x
    x = 25,558,498.94/5,742.88
  6. Step 6: Final answer
    x = 4,450.47

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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.