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Finding the Fourth Proportional to 4,714.56, 6,504 and 3,141.12

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Solution

The fourth proportional to 4,714.56, 6,504 and 3,141.12 is: 4,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.56 : 6,504 = 3,141.12 : x
  2. Step 2: Convert to fraction form
    4,714.56/6,504 = 3,141.12/x
  3. Step 3: Cross multiply
    4,714.56x = 6,504 × 3,141.12
  4. Step 4: Simplify right side
    4,714.56x = 20,429,844.48
  5. Step 5: Solve for x
    x = 20,429,844.48/4,714.56
  6. Step 6: Final answer
    x = 4,333.35

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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.