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Finding the Fourth Proportional to 3,818.12, 5,714.70 and 2,358.44

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Solution

The fourth proportional to 3,818.12, 5,714.70 and 2,358.44 is: 3,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.12 : 5,714.70 = 2,358.44 : x
  2. Step 2: Convert to fraction form
    3,818.12/5,714.70 = 2,358.44/x
  3. Step 3: Cross multiply
    3,818.12x = 5,714.70 × 2,358.44
  4. Step 4: Simplify right side
    3,818.12x = 13,477,777.07
  5. Step 5: Solve for x
    x = 13,477,777.07/3,818.12
  6. Step 6: Final answer
    x = 3,529.95

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