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Finding the Fourth Proportional to 3,130.73, 4,320.24 and 1,714.14

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Solution

The fourth proportional to 3,130.73, 4,320.24 and 1,714.14 is: 2,365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.73 : 4,320.24 = 1,714.14 : x
  2. Step 2: Convert to fraction form
    3,130.73/4,320.24 = 1,714.14/x
  3. Step 3: Cross multiply
    3,130.73x = 4,320.24 × 1,714.14
  4. Step 4: Simplify right side
    3,130.73x = 7,405,473.56
  5. Step 5: Solve for x
    x = 7,405,473.56/3,130.73
  6. Step 6: Final answer
    x = 2,365.41

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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.