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Finding the Fourth Proportional to 4,774.20, 7,149 and 4,085.28

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Solution

The fourth proportional to 4,774.20, 7,149 and 4,085.28 is: 6,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.20 : 7,149 = 4,085.28 : x
  2. Step 2: Convert to fraction form
    4,774.20/7,149 = 4,085.28/x
  3. Step 3: Cross multiply
    4,774.20x = 7,149 × 4,085.28
  4. Step 4: Simplify right side
    4,774.20x = 29,205,666.72
  5. Step 5: Solve for x
    x = 29,205,666.72/4,774.20
  6. Step 6: Final answer
    x = 6,117.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.