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Finding the Fourth Proportional to 4,894.63, 7,342.49 and 1,776.08

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Solution

The fourth proportional to 4,894.63, 7,342.49 and 1,776.08 is: 2,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.63 : 7,342.49 = 1,776.08 : x
  2. Step 2: Convert to fraction form
    4,894.63/7,342.49 = 1,776.08/x
  3. Step 3: Cross multiply
    4,894.63x = 7,342.49 × 1,776.08
  4. Step 4: Simplify right side
    4,894.63x = 13,040,872.44
  5. Step 5: Solve for x
    x = 13,040,872.44/4,894.63
  6. Step 6: Final answer
    x = 2,664.32

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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.