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Finding the Fourth Proportional to 4,784.97, 7,177.31 and 2,445.95

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Solution

The fourth proportional to 4,784.97, 7,177.31 and 2,445.95 is: 3,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.97 : 7,177.31 = 2,445.95 : x
  2. Step 2: Convert to fraction form
    4,784.97/7,177.31 = 2,445.95/x
  3. Step 3: Cross multiply
    4,784.97x = 7,177.31 × 2,445.95
  4. Step 4: Simplify right side
    4,784.97x = 17,555,315.91
  5. Step 5: Solve for x
    x = 17,555,315.91/4,784.97
  6. Step 6: Final answer
    x = 3,668.84

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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.