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Finding the Fourth Proportional to 4,577, 6,317.90 and 2,714

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Solution

The fourth proportional to 4,577, 6,317.90 and 2,714 is: 3,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577 : 6,317.90 = 2,714 : x
  2. Step 2: Convert to fraction form
    4,577/6,317.90 = 2,714/x
  3. Step 3: Cross multiply
    4,577x = 6,317.90 × 2,714
  4. Step 4: Simplify right side
    4,577x = 17,146,780.60
  5. Step 5: Solve for x
    x = 17,146,780.60/4,577
  6. Step 6: Final answer
    x = 3,746.29

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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.