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Finding the Fourth Proportional to 3,805.68, 5,714.72 and 2,354.08

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Solution

The fourth proportional to 3,805.68, 5,714.72 and 2,354.08 is: 3,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.68 : 5,714.72 = 2,354.08 : x
  2. Step 2: Convert to fraction form
    3,805.68/5,714.72 = 2,354.08/x
  3. Step 3: Cross multiply
    3,805.68x = 5,714.72 × 2,354.08
  4. Step 4: Simplify right side
    3,805.68x = 13,452,908.06
  5. Step 5: Solve for x
    x = 13,452,908.06/3,805.68
  6. Step 6: Final answer
    x = 3,534.96

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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.