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Finding the Fourth Proportional to 3,349.66, 4,623.07 and 3,202.01

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Solution

The fourth proportional to 3,349.66, 4,623.07 and 3,202.01 is: 4,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.66 : 4,623.07 = 3,202.01 : x
  2. Step 2: Convert to fraction form
    3,349.66/4,623.07 = 3,202.01/x
  3. Step 3: Cross multiply
    3,349.66x = 4,623.07 × 3,202.01
  4. Step 4: Simplify right side
    3,349.66x = 14,803,116.37
  5. Step 5: Solve for x
    x = 14,803,116.37/3,349.66
  6. Step 6: Final answer
    x = 4,419.29

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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.