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Finding the Fourth Proportional to 4,505.47, 6,758.20 and 1,218.56

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Solution

The fourth proportional to 4,505.47, 6,758.20 and 1,218.56 is: 1,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.47 : 6,758.20 = 1,218.56 : x
  2. Step 2: Convert to fraction form
    4,505.47/6,758.20 = 1,218.56/x
  3. Step 3: Cross multiply
    4,505.47x = 6,758.20 × 1,218.56
  4. Step 4: Simplify right side
    4,505.47x = 8,235,277.94
  5. Step 5: Solve for x
    x = 8,235,277.94/4,505.47
  6. Step 6: Final answer
    x = 1,827.84

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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.