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Finding the Fourth Proportional to 3,774.56, 5,667.24 and 2,130.80

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Solution

The fourth proportional to 3,774.56, 5,667.24 and 2,130.80 is: 3,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.56 : 5,667.24 = 2,130.80 : x
  2. Step 2: Convert to fraction form
    3,774.56/5,667.24 = 2,130.80/x
  3. Step 3: Cross multiply
    3,774.56x = 5,667.24 × 2,130.80
  4. Step 4: Simplify right side
    3,774.56x = 12,075,754.99
  5. Step 5: Solve for x
    x = 12,075,754.99/3,774.56
  6. Step 6: Final answer
    x = 3,199.25

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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.