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Finding the Fourth Proportional to 4,714.29, 6,505.65 and 2,589.90

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Solution

The fourth proportional to 4,714.29, 6,505.65 and 2,589.90 is: 3,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.29 : 6,505.65 = 2,589.90 : x
  2. Step 2: Convert to fraction form
    4,714.29/6,505.65 = 2,589.90/x
  3. Step 3: Cross multiply
    4,714.29x = 6,505.65 × 2,589.90
  4. Step 4: Simplify right side
    4,714.29x = 16,848,982.94
  5. Step 5: Solve for x
    x = 16,848,982.94/4,714.29
  6. Step 6: Final answer
    x = 3,574.02

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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.