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Finding the Fourth Proportional to 4,125.83, 6,191.19 and 1,530.59

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Solution

The fourth proportional to 4,125.83, 6,191.19 and 1,530.59 is: 2,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.83 : 6,191.19 = 1,530.59 : x
  2. Step 2: Convert to fraction form
    4,125.83/6,191.19 = 1,530.59/x
  3. Step 3: Cross multiply
    4,125.83x = 6,191.19 × 1,530.59
  4. Step 4: Simplify right side
    4,125.83x = 9,476,173.50
  5. Step 5: Solve for x
    x = 9,476,173.50/4,125.83
  6. Step 6: Final answer
    x = 2,296.79

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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.