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Finding the Fourth Proportional to 5,291.53, 7,938.61 and 2,004.62

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Solution

The fourth proportional to 5,291.53, 7,938.61 and 2,004.62 is: 3,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.53 : 7,938.61 = 2,004.62 : x
  2. Step 2: Convert to fraction form
    5,291.53/7,938.61 = 2,004.62/x
  3. Step 3: Cross multiply
    5,291.53x = 7,938.61 × 2,004.62
  4. Step 4: Simplify right side
    5,291.53x = 15,913,851.67
  5. Step 5: Solve for x
    x = 15,913,851.67/5,291.53
  6. Step 6: Final answer
    x = 3,007.42

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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.