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Finding the Fourth Proportional to 3,384.69, 5,075.28 and 1,534.92

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Solution

The fourth proportional to 3,384.69, 5,075.28 and 1,534.92 is: 2,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.69 : 5,075.28 = 1,534.92 : x
  2. Step 2: Convert to fraction form
    3,384.69/5,075.28 = 1,534.92/x
  3. Step 3: Cross multiply
    3,384.69x = 5,075.28 × 1,534.92
  4. Step 4: Simplify right side
    3,384.69x = 7,790,148.78
  5. Step 5: Solve for x
    x = 7,790,148.78/3,384.69
  6. Step 6: Final answer
    x = 2,301.58

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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.