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Finding the Fourth Proportional to 4,691.33, 7,045.04 and 4,165.41

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Solution

The fourth proportional to 4,691.33, 7,045.04 and 4,165.41 is: 6,255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.33 : 7,045.04 = 4,165.41 : x
  2. Step 2: Convert to fraction form
    4,691.33/7,045.04 = 4,165.41/x
  3. Step 3: Cross multiply
    4,691.33x = 7,045.04 × 4,165.41
  4. Step 4: Simplify right side
    4,691.33x = 29,345,459.24
  5. Step 5: Solve for x
    x = 29,345,459.24/4,691.33
  6. Step 6: Final answer
    x = 6,255.26

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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.