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Finding the Fourth Proportional to 5,330.40, 7,977.24 and 3,675.84

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Solution

The fourth proportional to 5,330.40, 7,977.24 and 3,675.84 is: 5,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.40 : 7,977.24 = 3,675.84 : x
  2. Step 2: Convert to fraction form
    5,330.40/7,977.24 = 3,675.84/x
  3. Step 3: Cross multiply
    5,330.40x = 7,977.24 × 3,675.84
  4. Step 4: Simplify right side
    5,330.40x = 29,323,057.88
  5. Step 5: Solve for x
    x = 29,323,057.88/5,330.40
  6. Step 6: Final answer
    x = 5,501.10

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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.