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Finding the Fourth Proportional to 3,775.37, 5,656.66 and 2,311.46

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Solution

The fourth proportional to 3,775.37, 5,656.66 and 2,311.46 is: 3,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.37 : 5,656.66 = 2,311.46 : x
  2. Step 2: Convert to fraction form
    3,775.37/5,656.66 = 2,311.46/x
  3. Step 3: Cross multiply
    3,775.37x = 5,656.66 × 2,311.46
  4. Step 4: Simplify right side
    3,775.37x = 13,075,131.77
  5. Step 5: Solve for x
    x = 13,075,131.77/3,775.37
  6. Step 6: Final answer
    x = 3,463.28

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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.