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Finding the Fourth Proportional to 5,211.51, 7,813.62 and 2,613.03

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Solution

The fourth proportional to 5,211.51, 7,813.62 and 2,613.03 is: 3,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.51 : 7,813.62 = 2,613.03 : x
  2. Step 2: Convert to fraction form
    5,211.51/7,813.62 = 2,613.03/x
  3. Step 3: Cross multiply
    5,211.51x = 7,813.62 × 2,613.03
  4. Step 4: Simplify right side
    5,211.51x = 20,417,223.47
  5. Step 5: Solve for x
    x = 20,417,223.47/5,211.51
  6. Step 6: Final answer
    x = 3,917.72

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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.