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Finding the Fourth Proportional to 3,920.46, 5,883.93 and 1,613.58

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Solution

The fourth proportional to 3,920.46, 5,883.93 and 1,613.58 is: 2,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.46 : 5,883.93 = 1,613.58 : x
  2. Step 2: Convert to fraction form
    3,920.46/5,883.93 = 1,613.58/x
  3. Step 3: Cross multiply
    3,920.46x = 5,883.93 × 1,613.58
  4. Step 4: Simplify right side
    3,920.46x = 9,494,191.77
  5. Step 5: Solve for x
    x = 9,494,191.77/3,920.46
  6. Step 6: Final answer
    x = 2,421.70

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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.