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Finding the Fourth Proportional to 4,392.66, 6,584.76 and 2,542.08

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Solution

The fourth proportional to 4,392.66, 6,584.76 and 2,542.08 is: 3,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.66 : 6,584.76 = 2,542.08 : x
  2. Step 2: Convert to fraction form
    4,392.66/6,584.76 = 2,542.08/x
  3. Step 3: Cross multiply
    4,392.66x = 6,584.76 × 2,542.08
  4. Step 4: Simplify right side
    4,392.66x = 16,738,986.70
  5. Step 5: Solve for x
    x = 16,738,986.70/4,392.66
  6. Step 6: Final answer
    x = 3,810.67

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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.