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Finding the Fourth Proportional to 4,596.59, 6,885.15 and 3,814.73

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Solution

The fourth proportional to 4,596.59, 6,885.15 and 3,814.73 is: 5,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.59 : 6,885.15 = 3,814.73 : x
  2. Step 2: Convert to fraction form
    4,596.59/6,885.15 = 3,814.73/x
  3. Step 3: Cross multiply
    4,596.59x = 6,885.15 × 3,814.73
  4. Step 4: Simplify right side
    4,596.59x = 26,264,988.26
  5. Step 5: Solve for x
    x = 26,264,988.26/4,596.59
  6. Step 6: Final answer
    x = 5,714.02

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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.