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Finding the Fourth Proportional to 5,714.81, 7,886.55 and 3,476.78

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Solution

The fourth proportional to 5,714.81, 7,886.55 and 3,476.78 is: 4,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.81 : 7,886.55 = 3,476.78 : x
  2. Step 2: Convert to fraction form
    5,714.81/7,886.55 = 3,476.78/x
  3. Step 3: Cross multiply
    5,714.81x = 7,886.55 × 3,476.78
  4. Step 4: Simplify right side
    5,714.81x = 27,419,799.31
  5. Step 5: Solve for x
    x = 27,419,799.31/5,714.81
  6. Step 6: Final answer
    x = 4,798.02

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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.