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Finding the Fourth Proportional to 3,714.56, 5,124.98 and 2,389.80

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Solution

The fourth proportional to 3,714.56, 5,124.98 and 2,389.80 is: 3,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.56 : 5,124.98 = 2,389.80 : x
  2. Step 2: Convert to fraction form
    3,714.56/5,124.98 = 2,389.80/x
  3. Step 3: Cross multiply
    3,714.56x = 5,124.98 × 2,389.80
  4. Step 4: Simplify right side
    3,714.56x = 12,247,677.20
  5. Step 5: Solve for x
    x = 12,247,677.20/3,714.56
  6. Step 6: Final answer
    x = 3,297.21

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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.