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Finding the Fourth Proportional to 3,646.38, 5,476.59 and 3,239.04

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Solution

The fourth proportional to 3,646.38, 5,476.59 and 3,239.04 is: 4,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.38 : 5,476.59 = 3,239.04 : x
  2. Step 2: Convert to fraction form
    3,646.38/5,476.59 = 3,239.04/x
  3. Step 3: Cross multiply
    3,646.38x = 5,476.59 × 3,239.04
  4. Step 4: Simplify right side
    3,646.38x = 17,738,894.07
  5. Step 5: Solve for x
    x = 17,738,894.07/3,646.38
  6. Step 6: Final answer
    x = 4,864.80

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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.