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Finding the Fourth Proportional to 5,199.05, 7,801.27 and 1,690.13

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Solution

The fourth proportional to 5,199.05, 7,801.27 and 1,690.13 is: 2,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.05 : 7,801.27 = 1,690.13 : x
  2. Step 2: Convert to fraction form
    5,199.05/7,801.27 = 1,690.13/x
  3. Step 3: Cross multiply
    5,199.05x = 7,801.27 × 1,690.13
  4. Step 4: Simplify right side
    5,199.05x = 13,185,117.23
  5. Step 5: Solve for x
    x = 13,185,117.23/5,199.05
  6. Step 6: Final answer
    x = 2,536.07

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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.