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Finding the Fourth Proportional to 5,714.46, 7,885.80 and 3,356.52

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Solution

The fourth proportional to 5,714.46, 7,885.80 and 3,356.52 is: 4,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.46 : 7,885.80 = 3,356.52 : x
  2. Step 2: Convert to fraction form
    5,714.46/7,885.80 = 3,356.52/x
  3. Step 3: Cross multiply
    5,714.46x = 7,885.80 × 3,356.52
  4. Step 4: Simplify right side
    5,714.46x = 26,468,845.42
  5. Step 5: Solve for x
    x = 26,468,845.42/5,714.46
  6. Step 6: Final answer
    x = 4,631.91

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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.