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Finding the Fourth Proportional to 4,714.50, 6,506.28 and 2,619.30

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Solution

The fourth proportional to 4,714.50, 6,506.28 and 2,619.30 is: 3,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.50 : 6,506.28 = 2,619.30 : x
  2. Step 2: Convert to fraction form
    4,714.50/6,506.28 = 2,619.30/x
  3. Step 3: Cross multiply
    4,714.50x = 6,506.28 × 2,619.30
  4. Step 4: Simplify right side
    4,714.50x = 17,041,899.20
  5. Step 5: Solve for x
    x = 17,041,899.20/4,714.50
  6. Step 6: Final answer
    x = 3,614.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.