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Finding the Fourth Proportional to 3,528.42, 5,292.63 and 931.38

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Solution

The fourth proportional to 3,528.42, 5,292.63 and 931.38 is: 1,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.42 : 5,292.63 = 931.38 : x
  2. Step 2: Convert to fraction form
    3,528.42/5,292.63 = 931.38/x
  3. Step 3: Cross multiply
    3,528.42x = 5,292.63 × 931.38
  4. Step 4: Simplify right side
    3,528.42x = 4,929,449.73
  5. Step 5: Solve for x
    x = 4,929,449.73/3,528.42
  6. Step 6: Final answer
    x = 1,397.07

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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.