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Finding the Fourth Proportional to 4,528, 6,794.56 and 2,096

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Solution

The fourth proportional to 4,528, 6,794.56 and 2,096 is: 3,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528 : 6,794.56 = 2,096 : x
  2. Step 2: Convert to fraction form
    4,528/6,794.56 = 2,096/x
  3. Step 3: Cross multiply
    4,528x = 6,794.56 × 2,096
  4. Step 4: Simplify right side
    4,528x = 14,241,397.76
  5. Step 5: Solve for x
    x = 14,241,397.76/4,528
  6. Step 6: Final answer
    x = 3,145.19

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Why These Related Problems?

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