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Finding the Fourth Proportional to 3,384.87, 5,076.22 and 1,075.83

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Solution

The fourth proportional to 3,384.87, 5,076.22 and 1,075.83 is: 1,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.87 : 5,076.22 = 1,075.83 : x
  2. Step 2: Convert to fraction form
    3,384.87/5,076.22 = 1,075.83/x
  3. Step 3: Cross multiply
    3,384.87x = 5,076.22 × 1,075.83
  4. Step 4: Simplify right side
    3,384.87x = 5,461,149.76
  5. Step 5: Solve for x
    x = 5,461,149.76/3,384.87
  6. Step 6: Final answer
    x = 1,613.40

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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.