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Finding the Fourth Proportional to 3,416.04, 4,714.15 and 1,999.47

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Solution

The fourth proportional to 3,416.04, 4,714.15 and 1,999.47 is: 2,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.04 : 4,714.15 = 1,999.47 : x
  2. Step 2: Convert to fraction form
    3,416.04/4,714.15 = 1,999.47/x
  3. Step 3: Cross multiply
    3,416.04x = 4,714.15 × 1,999.47
  4. Step 4: Simplify right side
    3,416.04x = 9,425,801.50
  5. Step 5: Solve for x
    x = 9,425,801.50/3,416.04
  6. Step 6: Final answer
    x = 2,759.28

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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.