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Finding the Fourth Proportional to 4,476.40, 6,164.04 and 3,689.08

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Solution

The fourth proportional to 4,476.40, 6,164.04 and 3,689.08 is: 5,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.40 : 6,164.04 = 3,689.08 : x
  2. Step 2: Convert to fraction form
    4,476.40/6,164.04 = 3,689.08/x
  3. Step 3: Cross multiply
    4,476.40x = 6,164.04 × 3,689.08
  4. Step 4: Simplify right side
    4,476.40x = 22,739,636.68
  5. Step 5: Solve for x
    x = 22,739,636.68/4,476.40
  6. Step 6: Final answer
    x = 5,079.89

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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.