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Finding the Fourth Proportional to 3,111.53, 4,293.91 and 1,714.28

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Solution

The fourth proportional to 3,111.53, 4,293.91 and 1,714.28 is: 2,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.53 : 4,293.91 = 1,714.28 : x
  2. Step 2: Convert to fraction form
    3,111.53/4,293.91 = 1,714.28/x
  3. Step 3: Cross multiply
    3,111.53x = 4,293.91 × 1,714.28
  4. Step 4: Simplify right side
    3,111.53x = 7,360,949.01
  5. Step 5: Solve for x
    x = 7,360,949.01/3,111.53
  6. Step 6: Final answer
    x = 2,365.70

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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.