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Finding the Fourth Proportional to 4,714.78, 6,506.08 and 2,589.89

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Solution

The fourth proportional to 4,714.78, 6,506.08 and 2,589.89 is: 3,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.78 : 6,506.08 = 2,589.89 : x
  2. Step 2: Convert to fraction form
    4,714.78/6,506.08 = 2,589.89/x
  3. Step 3: Cross multiply
    4,714.78x = 6,506.08 × 2,589.89
  4. Step 4: Simplify right side
    4,714.78x = 16,850,041.32
  5. Step 5: Solve for x
    x = 16,850,041.32/4,714.78
  6. Step 6: Final answer
    x = 3,573.88

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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.