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Finding the Fourth Proportional to 3,331.65, 4,564.32 and 3,207.03

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Solution

The fourth proportional to 3,331.65, 4,564.32 and 3,207.03 is: 4,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331.65 : 4,564.32 = 3,207.03 : x
  2. Step 2: Convert to fraction form
    3,331.65/4,564.32 = 3,207.03/x
  3. Step 3: Cross multiply
    3,331.65x = 4,564.32 × 3,207.03
  4. Step 4: Simplify right side
    3,331.65x = 14,637,911.17
  5. Step 5: Solve for x
    x = 14,637,911.17/3,331.65
  6. Step 6: Final answer
    x = 4,393.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.