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Finding the Fourth Proportional to 3,918.51, 5,384.54 and 3,131.19

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Solution

The fourth proportional to 3,918.51, 5,384.54 and 3,131.19 is: 4,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.51 : 5,384.54 = 3,131.19 : x
  2. Step 2: Convert to fraction form
    3,918.51/5,384.54 = 3,131.19/x
  3. Step 3: Cross multiply
    3,918.51x = 5,384.54 × 3,131.19
  4. Step 4: Simplify right side
    3,918.51x = 16,860,025.63
  5. Step 5: Solve for x
    x = 16,860,025.63/3,918.51
  6. Step 6: Final answer
    x = 4,302.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.