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Finding the Fourth Proportional to 3,383.84, 5,075.26 and 918.81

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Solution

The fourth proportional to 3,383.84, 5,075.26 and 918.81 is: 1,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.84 : 5,075.26 = 918.81 : x
  2. Step 2: Convert to fraction form
    3,383.84/5,075.26 = 918.81/x
  3. Step 3: Cross multiply
    3,383.84x = 5,075.26 × 918.81
  4. Step 4: Simplify right side
    3,383.84x = 4,663,197.34
  5. Step 5: Solve for x
    x = 4,663,197.34/3,383.84
  6. Step 6: Final answer
    x = 1,378.08

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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.