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Finding the Fourth Proportional to 4,784.94, 7,181.74 and 2,013.66

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Solution

The fourth proportional to 4,784.94, 7,181.74 and 2,013.66 is: 3,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.94 : 7,181.74 = 2,013.66 : x
  2. Step 2: Convert to fraction form
    4,784.94/7,181.74 = 2,013.66/x
  3. Step 3: Cross multiply
    4,784.94x = 7,181.74 × 2,013.66
  4. Step 4: Simplify right side
    4,784.94x = 14,461,582.57
  5. Step 5: Solve for x
    x = 14,461,582.57/4,784.94
  6. Step 6: Final answer
    x = 3,022.31

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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.