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Finding the Fourth Proportional to 3,384.80, 5,075.28 and 1,436

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Solution

The fourth proportional to 3,384.80, 5,075.28 and 1,436 is: 2,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.80 : 5,075.28 = 1,436 : x
  2. Step 2: Convert to fraction form
    3,384.80/5,075.28 = 1,436/x
  3. Step 3: Cross multiply
    3,384.80x = 5,075.28 × 1,436
  4. Step 4: Simplify right side
    3,384.80x = 7,288,102.08
  5. Step 5: Solve for x
    x = 7,288,102.08/3,384.80
  6. Step 6: Final answer
    x = 2,153.19

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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.