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Finding the Fourth Proportional to 4,417.62, 6,623.10 and 3,808.50

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Solution

The fourth proportional to 4,417.62, 6,623.10 and 3,808.50 is: 5,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.62 : 6,623.10 = 3,808.50 : x
  2. Step 2: Convert to fraction form
    4,417.62/6,623.10 = 3,808.50/x
  3. Step 3: Cross multiply
    4,417.62x = 6,623.10 × 3,808.50
  4. Step 4: Simplify right side
    4,417.62x = 25,224,076.35
  5. Step 5: Solve for x
    x = 25,224,076.35/4,417.62
  6. Step 6: Final answer
    x = 5,709.88

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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.