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Finding the Fourth Proportional to 3,111.75, 4,294.25 and 1,714.53

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Solution

The fourth proportional to 3,111.75, 4,294.25 and 1,714.53 is: 2,366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.75 : 4,294.25 = 1,714.53 : x
  2. Step 2: Convert to fraction form
    3,111.75/4,294.25 = 1,714.53/x
  3. Step 3: Cross multiply
    3,111.75x = 4,294.25 × 1,714.53
  4. Step 4: Simplify right side
    3,111.75x = 7,362,611.88
  5. Step 5: Solve for x
    x = 7,362,611.88/3,111.75
  6. Step 6: Final answer
    x = 2,366.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.