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Finding the Fourth Proportional to 4,714.92, 6,506.82 and 2,619

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Solution

The fourth proportional to 4,714.92, 6,506.82 and 2,619 is: 3,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.92 : 6,506.82 = 2,619 : x
  2. Step 2: Convert to fraction form
    4,714.92/6,506.82 = 2,619/x
  3. Step 3: Cross multiply
    4,714.92x = 6,506.82 × 2,619
  4. Step 4: Simplify right side
    4,714.92x = 17,041,361.58
  5. Step 5: Solve for x
    x = 17,041,361.58/4,714.92
  6. Step 6: Final answer
    x = 3,614.35

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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.