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Finding the Fourth Proportional to 4,801.53, 7,202.29 and 1,877.78

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Solution

The fourth proportional to 4,801.53, 7,202.29 and 1,877.78 is: 2,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.53 : 7,202.29 = 1,877.78 : x
  2. Step 2: Convert to fraction form
    4,801.53/7,202.29 = 1,877.78/x
  3. Step 3: Cross multiply
    4,801.53x = 7,202.29 × 1,877.78
  4. Step 4: Simplify right side
    4,801.53x = 13,524,316.12
  5. Step 5: Solve for x
    x = 13,524,316.12/4,801.53
  6. Step 6: Final answer
    x = 2,816.67

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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.