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Finding the Fourth Proportional to 4,900.96, 7,352.51 and 1,613.89

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Solution

The fourth proportional to 4,900.96, 7,352.51 and 1,613.89 is: 2,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.96 : 7,352.51 = 1,613.89 : x
  2. Step 2: Convert to fraction form
    4,900.96/7,352.51 = 1,613.89/x
  3. Step 3: Cross multiply
    4,900.96x = 7,352.51 × 1,613.89
  4. Step 4: Simplify right side
    4,900.96x = 11,866,142.36
  5. Step 5: Solve for x
    x = 11,866,142.36/4,900.96
  6. Step 6: Final answer
    x = 2,421.19

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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.