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Finding the Fourth Proportional to 5,209.51, 7,188.84 and 2,851.19

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Solution

The fourth proportional to 5,209.51, 7,188.84 and 2,851.19 is: 3,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.51 : 7,188.84 = 2,851.19 : x
  2. Step 2: Convert to fraction form
    5,209.51/7,188.84 = 2,851.19/x
  3. Step 3: Cross multiply
    5,209.51x = 7,188.84 × 2,851.19
  4. Step 4: Simplify right side
    5,209.51x = 20,496,748.72
  5. Step 5: Solve for x
    x = 20,496,748.72/5,209.51
  6. Step 6: Final answer
    x = 3,934.49

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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.