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Finding the Fourth Proportional to 3,849.56, 5,773.38 and 1,075.51

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Solution

The fourth proportional to 3,849.56, 5,773.38 and 1,075.51 is: 1,613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.56 : 5,773.38 = 1,075.51 : x
  2. Step 2: Convert to fraction form
    3,849.56/5,773.38 = 1,075.51/x
  3. Step 3: Cross multiply
    3,849.56x = 5,773.38 × 1,075.51
  4. Step 4: Simplify right side
    3,849.56x = 6,209,331.11
  5. Step 5: Solve for x
    x = 6,209,331.11/3,849.56
  6. Step 6: Final answer
    x = 1,613.00

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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.