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Finding the Fourth Proportional to 5,097.42, 7,646.04 and 2,019.42

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Solution

The fourth proportional to 5,097.42, 7,646.04 and 2,019.42 is: 3,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.42 : 7,646.04 = 2,019.42 : x
  2. Step 2: Convert to fraction form
    5,097.42/7,646.04 = 2,019.42/x
  3. Step 3: Cross multiply
    5,097.42x = 7,646.04 × 2,019.42
  4. Step 4: Simplify right side
    5,097.42x = 15,440,566.10
  5. Step 5: Solve for x
    x = 15,440,566.10/5,097.42
  6. Step 6: Final answer
    x = 3,029.09

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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.