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Finding the Fourth Proportional to 3,806.10, 5,714.55 and 2,348.10

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Solution

The fourth proportional to 3,806.10, 5,714.55 and 2,348.10 is: 3,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.10 : 5,714.55 = 2,348.10 : x
  2. Step 2: Convert to fraction form
    3,806.10/5,714.55 = 2,348.10/x
  3. Step 3: Cross multiply
    3,806.10x = 5,714.55 × 2,348.10
  4. Step 4: Simplify right side
    3,806.10x = 13,418,334.86
  5. Step 5: Solve for x
    x = 13,418,334.86/3,806.10
  6. Step 6: Final answer
    x = 3,525.48

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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.