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Finding the Fourth Proportional to 3,714.78, 5,123.57 and 2,370.80

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Solution

The fourth proportional to 3,714.78, 5,123.57 and 2,370.80 is: 3,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.78 : 5,123.57 = 2,370.80 : x
  2. Step 2: Convert to fraction form
    3,714.78/5,123.57 = 2,370.80/x
  3. Step 3: Cross multiply
    3,714.78x = 5,123.57 × 2,370.80
  4. Step 4: Simplify right side
    3,714.78x = 12,146,922.28
  5. Step 5: Solve for x
    x = 12,146,922.28/3,714.78
  6. Step 6: Final answer
    x = 3,269.89

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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.