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Finding the Fourth Proportional to 5,142.84, 7,714.28 and 1,247.24

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Solution

The fourth proportional to 5,142.84, 7,714.28 and 1,247.24 is: 1,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.84 : 7,714.28 = 1,247.24 : x
  2. Step 2: Convert to fraction form
    5,142.84/7,714.28 = 1,247.24/x
  3. Step 3: Cross multiply
    5,142.84x = 7,714.28 × 1,247.24
  4. Step 4: Simplify right side
    5,142.84x = 9,621,558.59
  5. Step 5: Solve for x
    x = 9,621,558.59/5,142.84
  6. Step 6: Final answer
    x = 1,870.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.