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Finding the Fourth Proportional to 4,815.99, 6,636.74 and 3,416.31

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Solution

The fourth proportional to 4,815.99, 6,636.74 and 3,416.31 is: 4,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.99 : 6,636.74 = 3,416.31 : x
  2. Step 2: Convert to fraction form
    4,815.99/6,636.74 = 3,416.31/x
  3. Step 3: Cross multiply
    4,815.99x = 6,636.74 × 3,416.31
  4. Step 4: Simplify right side
    4,815.99x = 22,673,144.15
  5. Step 5: Solve for x
    x = 22,673,144.15/4,815.99
  6. Step 6: Final answer
    x = 4,707.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.