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Finding the Fourth Proportional to 5,383.96, 8,075.71 and 1,686.11

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Solution

The fourth proportional to 5,383.96, 8,075.71 and 1,686.11 is: 2,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.96 : 8,075.71 = 1,686.11 : x
  2. Step 2: Convert to fraction form
    5,383.96/8,075.71 = 1,686.11/x
  3. Step 3: Cross multiply
    5,383.96x = 8,075.71 × 1,686.11
  4. Step 4: Simplify right side
    5,383.96x = 13,616,490.79
  5. Step 5: Solve for x
    x = 13,616,490.79/5,383.96
  6. Step 6: Final answer
    x = 2,529.09

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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.