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Finding the Fourth Proportional to 4,784.27, 7,175.10 and 3,026.63

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Solution

The fourth proportional to 4,784.27, 7,175.10 and 3,026.63 is: 4,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.27 : 7,175.10 = 3,026.63 : x
  2. Step 2: Convert to fraction form
    4,784.27/7,175.10 = 3,026.63/x
  3. Step 3: Cross multiply
    4,784.27x = 7,175.10 × 3,026.63
  4. Step 4: Simplify right side
    4,784.27x = 21,716,372.91
  5. Step 5: Solve for x
    x = 21,716,372.91/4,784.27
  6. Step 6: Final answer
    x = 4,539.12

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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.