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Finding the Fourth Proportional to 3,765.34, 5,642.53 and 2,671.84

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Solution

The fourth proportional to 3,765.34, 5,642.53 and 2,671.84 is: 4,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.34 : 5,642.53 = 2,671.84 : x
  2. Step 2: Convert to fraction form
    3,765.34/5,642.53 = 2,671.84/x
  3. Step 3: Cross multiply
    3,765.34x = 5,642.53 × 2,671.84
  4. Step 4: Simplify right side
    3,765.34x = 15,075,937.36
  5. Step 5: Solve for x
    x = 15,075,937.36/3,765.34
  6. Step 6: Final answer
    x = 4,003.87

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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.