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Finding the Fourth Proportional to 4,516.18, 6,774.10 and 1,594.42

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Solution

The fourth proportional to 4,516.18, 6,774.10 and 1,594.42 is: 2,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.18 : 6,774.10 = 1,594.42 : x
  2. Step 2: Convert to fraction form
    4,516.18/6,774.10 = 1,594.42/x
  3. Step 3: Cross multiply
    4,516.18x = 6,774.10 × 1,594.42
  4. Step 4: Simplify right side
    4,516.18x = 10,800,739.60
  5. Step 5: Solve for x
    x = 10,800,739.60/4,516.18
  6. Step 6: Final answer
    x = 2,391.57

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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.