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Finding the Fourth Proportional to 3,059.09, 4,221.65 and 1,714.76

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Solution

The fourth proportional to 3,059.09, 4,221.65 and 1,714.76 is: 2,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.09 : 4,221.65 = 1,714.76 : x
  2. Step 2: Convert to fraction form
    3,059.09/4,221.65 = 1,714.76/x
  3. Step 3: Cross multiply
    3,059.09x = 4,221.65 × 1,714.76
  4. Step 4: Simplify right side
    3,059.09x = 7,239,131.40
  5. Step 5: Solve for x
    x = 7,239,131.40/3,059.09
  6. Step 6: Final answer
    x = 2,366.43

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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.