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Finding the Fourth Proportional to 3,528.65, 5,293.19 and 931.58

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Solution

The fourth proportional to 3,528.65, 5,293.19 and 931.58 is: 1,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.65 : 5,293.19 = 931.58 : x
  2. Step 2: Convert to fraction form
    3,528.65/5,293.19 = 931.58/x
  3. Step 3: Cross multiply
    3,528.65x = 5,293.19 × 931.58
  4. Step 4: Simplify right side
    3,528.65x = 4,931,025.28
  5. Step 5: Solve for x
    x = 4,931,025.28/3,528.65
  6. Step 6: Final answer
    x = 1,397.43

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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.