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Finding the Fourth Proportional to 4,714.75, 6,506.36 and 2,619.07

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Solution

The fourth proportional to 4,714.75, 6,506.36 and 2,619.07 is: 3,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.75 : 6,506.36 = 2,619.07 : x
  2. Step 2: Convert to fraction form
    4,714.75/6,506.36 = 2,619.07/x
  3. Step 3: Cross multiply
    4,714.75x = 6,506.36 × 2,619.07
  4. Step 4: Simplify right side
    4,714.75x = 17,040,612.29
  5. Step 5: Solve for x
    x = 17,040,612.29/4,714.75
  6. Step 6: Final answer
    x = 3,614.32

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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.