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Finding the Fourth Proportional to 4,897.72, 7,346.58 and 3,443.38

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Solution

The fourth proportional to 4,897.72, 7,346.58 and 3,443.38 is: 5,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.72 : 7,346.58 = 3,443.38 : x
  2. Step 2: Convert to fraction form
    4,897.72/7,346.58 = 3,443.38/x
  3. Step 3: Cross multiply
    4,897.72x = 7,346.58 × 3,443.38
  4. Step 4: Simplify right side
    4,897.72x = 25,297,066.64
  5. Step 5: Solve for x
    x = 25,297,066.64/4,897.72
  6. Step 6: Final answer
    x = 5,165.07

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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.