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Finding the Fourth Proportional to 3,714.40, 5,134.62 and 2,975.68

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Solution

The fourth proportional to 3,714.40, 5,134.62 and 2,975.68 is: 4,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.40 : 5,134.62 = 2,975.68 : x
  2. Step 2: Convert to fraction form
    3,714.40/5,134.62 = 2,975.68/x
  3. Step 3: Cross multiply
    3,714.40x = 5,134.62 × 2,975.68
  4. Step 4: Simplify right side
    3,714.40x = 15,278,986.04
  5. Step 5: Solve for x
    x = 15,278,986.04/3,714.40
  6. Step 6: Final answer
    x = 4,113.45

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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.