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Finding the Fourth Proportional to 4,059.39, 6,085.43 and 1,460.50

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Solution

The fourth proportional to 4,059.39, 6,085.43 and 1,460.50 is: 2,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.39 : 6,085.43 = 1,460.50 : x
  2. Step 2: Convert to fraction form
    4,059.39/6,085.43 = 1,460.50/x
  3. Step 3: Cross multiply
    4,059.39x = 6,085.43 × 1,460.50
  4. Step 4: Simplify right side
    4,059.39x = 8,887,770.52
  5. Step 5: Solve for x
    x = 8,887,770.52/4,059.39
  6. Step 6: Final answer
    x = 2,189.43

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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.