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Finding the Fourth Proportional to 3,383.25, 5,075.02 and 1,302.51

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Solution

The fourth proportional to 3,383.25, 5,075.02 and 1,302.51 is: 1,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.25 : 5,075.02 = 1,302.51 : x
  2. Step 2: Convert to fraction form
    3,383.25/5,075.02 = 1,302.51/x
  3. Step 3: Cross multiply
    3,383.25x = 5,075.02 × 1,302.51
  4. Step 4: Simplify right side
    3,383.25x = 6,610,264.30
  5. Step 5: Solve for x
    x = 6,610,264.30/3,383.25
  6. Step 6: Final answer
    x = 1,953.82

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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.