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Finding the Fourth Proportional to 3,416.96, 4,714.20 and 2,238.68

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Solution

The fourth proportional to 3,416.96, 4,714.20 and 2,238.68 is: 3,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.96 : 4,714.20 = 2,238.68 : x
  2. Step 2: Convert to fraction form
    3,416.96/4,714.20 = 2,238.68/x
  3. Step 3: Cross multiply
    3,416.96x = 4,714.20 × 2,238.68
  4. Step 4: Simplify right side
    3,416.96x = 10,553,585.26
  5. Step 5: Solve for x
    x = 10,553,585.26/3,416.96
  6. Step 6: Final answer
    x = 3,088.59

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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.