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Finding the Fourth Proportional to 5,131.84, 7,699.40 and 3,900.64

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Solution

The fourth proportional to 5,131.84, 7,699.40 and 3,900.64 is: 5,852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.84 : 7,699.40 = 3,900.64 : x
  2. Step 2: Convert to fraction form
    5,131.84/7,699.40 = 3,900.64/x
  3. Step 3: Cross multiply
    5,131.84x = 7,699.40 × 3,900.64
  4. Step 4: Simplify right side
    5,131.84x = 30,032,587.62
  5. Step 5: Solve for x
    x = 30,032,587.62/5,131.84
  6. Step 6: Final answer
    x = 5,852.21

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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.