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Finding the Fourth Proportional to 5,367, 8,050.53 and 1,669.14

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Solution

The fourth proportional to 5,367, 8,050.53 and 1,669.14 is: 2,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367 : 8,050.53 = 1,669.14 : x
  2. Step 2: Convert to fraction form
    5,367/8,050.53 = 1,669.14/x
  3. Step 3: Cross multiply
    5,367x = 8,050.53 × 1,669.14
  4. Step 4: Simplify right side
    5,367x = 13,437,461.64
  5. Step 5: Solve for x
    x = 13,437,461.64/5,367
  6. Step 6: Final answer
    x = 2,503.72

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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.