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Finding the Fourth Proportional to 3,267.54, 4,900.30 and 1,075.68

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Solution

The fourth proportional to 3,267.54, 4,900.30 and 1,075.68 is: 1,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.54 : 4,900.30 = 1,075.68 : x
  2. Step 2: Convert to fraction form
    3,267.54/4,900.30 = 1,075.68/x
  3. Step 3: Cross multiply
    3,267.54x = 4,900.30 × 1,075.68
  4. Step 4: Simplify right side
    3,267.54x = 5,271,152.01
  5. Step 5: Solve for x
    x = 5,271,152.01/3,267.54
  6. Step 6: Final answer
    x = 1,613.19

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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.