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Finding the Fourth Proportional to 3,111.50, 4,293.90 and 1,714.28

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Solution

The fourth proportional to 3,111.50, 4,293.90 and 1,714.28 is: 2,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.50 : 4,293.90 = 1,714.28 : x
  2. Step 2: Convert to fraction form
    3,111.50/4,293.90 = 1,714.28/x
  3. Step 3: Cross multiply
    3,111.50x = 4,293.90 × 1,714.28
  4. Step 4: Simplify right side
    3,111.50x = 7,360,946.89
  5. Step 5: Solve for x
    x = 7,360,946.89/3,111.50
  6. Step 6: Final answer
    x = 2,365.72

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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.