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Finding the Fourth Proportional to 3,598.65, 4,965.66 and 2,005.29

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Solution

The fourth proportional to 3,598.65, 4,965.66 and 2,005.29 is: 2,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.65 : 4,965.66 = 2,005.29 : x
  2. Step 2: Convert to fraction form
    3,598.65/4,965.66 = 2,005.29/x
  3. Step 3: Cross multiply
    3,598.65x = 4,965.66 × 2,005.29
  4. Step 4: Simplify right side
    3,598.65x = 9,957,588.34
  5. Step 5: Solve for x
    x = 9,957,588.34/3,598.65
  6. Step 6: Final answer
    x = 2,767.03

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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.