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Finding the Fourth Proportional to 4,057.92, 6,085.67 and 1,460.25

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Solution

The fourth proportional to 4,057.92, 6,085.67 and 1,460.25 is: 2,189.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.92 : 6,085.67 = 1,460.25 : x
  2. Step 2: Convert to fraction form
    4,057.92/6,085.67 = 1,460.25/x
  3. Step 3: Cross multiply
    4,057.92x = 6,085.67 × 1,460.25
  4. Step 4: Simplify right side
    4,057.92x = 8,886,592.32
  5. Step 5: Solve for x
    x = 8,886,592.32/4,057.92
  6. Step 6: Final answer
    x = 2,189.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.