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Finding the Fourth Proportional to 3,397.80, 5,096.14 and 1,089

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Solution

The fourth proportional to 3,397.80, 5,096.14 and 1,089 is: 1,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.80 : 5,096.14 = 1,089 : x
  2. Step 2: Convert to fraction form
    3,397.80/5,096.14 = 1,089/x
  3. Step 3: Cross multiply
    3,397.80x = 5,096.14 × 1,089
  4. Step 4: Simplify right side
    3,397.80x = 5,549,696.46
  5. Step 5: Solve for x
    x = 5,549,696.46/3,397.80
  6. Step 6: Final answer
    x = 1,633.32

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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.