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Finding the Fourth Proportional to 4,553.52, 6,830.04 and 1,266.84

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Solution

The fourth proportional to 4,553.52, 6,830.04 and 1,266.84 is: 1,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.52 : 6,830.04 = 1,266.84 : x
  2. Step 2: Convert to fraction form
    4,553.52/6,830.04 = 1,266.84/x
  3. Step 3: Cross multiply
    4,553.52x = 6,830.04 × 1,266.84
  4. Step 4: Simplify right side
    4,553.52x = 8,652,567.87
  5. Step 5: Solve for x
    x = 8,652,567.87/4,553.52
  6. Step 6: Final answer
    x = 1,900.19

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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.