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Finding the Fourth Proportional to 3,714.68, 5,124.06 and 2,141.66

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Solution

The fourth proportional to 3,714.68, 5,124.06 and 2,141.66 is: 2,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.68 : 5,124.06 = 2,141.66 : x
  2. Step 2: Convert to fraction form
    3,714.68/5,124.06 = 2,141.66/x
  3. Step 3: Cross multiply
    3,714.68x = 5,124.06 × 2,141.66
  4. Step 4: Simplify right side
    3,714.68x = 10,973,994.34
  5. Step 5: Solve for x
    x = 10,973,994.34/3,714.68
  6. Step 6: Final answer
    x = 2,954.22

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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.