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Finding the Fourth Proportional to 4,714.64, 7,074.77 and 1,752.58

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Solution

The fourth proportional to 4,714.64, 7,074.77 and 1,752.58 is: 2,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.64 : 7,074.77 = 1,752.58 : x
  2. Step 2: Convert to fraction form
    4,714.64/7,074.77 = 1,752.58/x
  3. Step 3: Cross multiply
    4,714.64x = 7,074.77 × 1,752.58
  4. Step 4: Simplify right side
    4,714.64x = 12,399,100.41
  5. Step 5: Solve for x
    x = 12,399,100.41/4,714.64
  6. Step 6: Final answer
    x = 2,629.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.