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Finding the Fourth Proportional to 4,714.70, 6,506.27 and 2,619.23

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Solution

The fourth proportional to 4,714.70, 6,506.27 and 2,619.23 is: 3,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.70 : 6,506.27 = 2,619.23 : x
  2. Step 2: Convert to fraction form
    4,714.70/6,506.27 = 2,619.23/x
  3. Step 3: Cross multiply
    4,714.70x = 6,506.27 × 2,619.23
  4. Step 4: Simplify right side
    4,714.70x = 17,041,371.94
  5. Step 5: Solve for x
    x = 17,041,371.94/4,714.70
  6. Step 6: Final answer
    x = 3,614.52

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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.