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Finding the Fourth Proportional to 5,742.97, 7,925.27 and 3,225.12

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Solution

The fourth proportional to 5,742.97, 7,925.27 and 3,225.12 is: 4,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.97 : 7,925.27 = 3,225.12 : x
  2. Step 2: Convert to fraction form
    5,742.97/7,925.27 = 3,225.12/x
  3. Step 3: Cross multiply
    5,742.97x = 7,925.27 × 3,225.12
  4. Step 4: Simplify right side
    5,742.97x = 25,559,946.78
  5. Step 5: Solve for x
    x = 25,559,946.78/5,742.97
  6. Step 6: Final answer
    x = 4,450.65

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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.