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Finding the Fourth Proportional to 3,441.03, 5,160.87 and 975.26

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Solution

The fourth proportional to 3,441.03, 5,160.87 and 975.26 is: 1,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.03 : 5,160.87 = 975.26 : x
  2. Step 2: Convert to fraction form
    3,441.03/5,160.87 = 975.26/x
  3. Step 3: Cross multiply
    3,441.03x = 5,160.87 × 975.26
  4. Step 4: Simplify right side
    3,441.03x = 5,033,164.27
  5. Step 5: Solve for x
    x = 5,033,164.27/3,441.03
  6. Step 6: Final answer
    x = 1,462.69

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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.