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Finding the Fourth Proportional to 4,050.54, 6,075.72 and 1,089

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Solution

The fourth proportional to 4,050.54, 6,075.72 and 1,089 is: 1,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,050.54 : 6,075.72 = 1,089 : x
  2. Step 2: Convert to fraction form
    4,050.54/6,075.72 = 1,089/x
  3. Step 3: Cross multiply
    4,050.54x = 6,075.72 × 1,089
  4. Step 4: Simplify right side
    4,050.54x = 6,616,459.08
  5. Step 5: Solve for x
    x = 6,616,459.08/4,050.54
  6. Step 6: Final answer
    x = 1,633.48

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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.