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Finding the Fourth Proportional to 4,714.58, 6,505.86 and 2,618.66

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Solution

The fourth proportional to 4,714.58, 6,505.86 and 2,618.66 is: 3,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.58 : 6,505.86 = 2,618.66 : x
  2. Step 2: Convert to fraction form
    4,714.58/6,505.86 = 2,618.66/x
  3. Step 3: Cross multiply
    4,714.58x = 6,505.86 × 2,618.66
  4. Step 4: Simplify right side
    4,714.58x = 17,036,635.35
  5. Step 5: Solve for x
    x = 17,036,635.35/4,714.58
  6. Step 6: Final answer
    x = 3,613.61

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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.