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Finding the Fourth Proportional to 4,555.78, 6,834.71 and 2,364.02

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Solution

The fourth proportional to 4,555.78, 6,834.71 and 2,364.02 is: 3,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.78 : 6,834.71 = 2,364.02 : x
  2. Step 2: Convert to fraction form
    4,555.78/6,834.71 = 2,364.02/x
  3. Step 3: Cross multiply
    4,555.78x = 6,834.71 × 2,364.02
  4. Step 4: Simplify right side
    4,555.78x = 16,157,388.50
  5. Step 5: Solve for x
    x = 16,157,388.50/4,555.78
  6. Step 6: Final answer
    x = 3,546.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.