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Finding the Fourth Proportional to 3,125, 4,689 and 2,085.68

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Solution

The fourth proportional to 3,125, 4,689 and 2,085.68 is: 3,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125 : 4,689 = 2,085.68 : x
  2. Step 2: Convert to fraction form
    3,125/4,689 = 2,085.68/x
  3. Step 3: Cross multiply
    3,125x = 4,689 × 2,085.68
  4. Step 4: Simplify right side
    3,125x = 9,779,753.52
  5. Step 5: Solve for x
    x = 9,779,753.52/3,125
  6. Step 6: Final answer
    x = 3,129.52

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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.