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Finding the Fourth Proportional to 4,774.86, 7,149.78 and 3,668.00

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Solution

The fourth proportional to 4,774.86, 7,149.78 and 3,668.00 is: 5,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.86 : 7,149.78 = 3,668.00 : x
  2. Step 2: Convert to fraction form
    4,774.86/7,149.78 = 3,668.00/x
  3. Step 3: Cross multiply
    4,774.86x = 7,149.78 × 3,668.00
  4. Step 4: Simplify right side
    4,774.86x = 26,225,357.29
  5. Step 5: Solve for x
    x = 26,225,357.29/4,774.86
  6. Step 6: Final answer
    x = 5,492.38

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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.