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Finding the Fourth Proportional to 5,065.01, 7,597.43 and 2,289.74

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Solution

The fourth proportional to 5,065.01, 7,597.43 and 2,289.74 is: 3,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.01 : 7,597.43 = 2,289.74 : x
  2. Step 2: Convert to fraction form
    5,065.01/7,597.43 = 2,289.74/x
  3. Step 3: Cross multiply
    5,065.01x = 7,597.43 × 2,289.74
  4. Step 4: Simplify right side
    5,065.01x = 17,396,164.09
  5. Step 5: Solve for x
    x = 17,396,164.09/5,065.01
  6. Step 6: Final answer
    x = 3,434.57

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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.