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Finding the Fourth Proportional to 4,867.34, 7,301.02 and 3,311.16

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Solution

The fourth proportional to 4,867.34, 7,301.02 and 3,311.16 is: 4,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.34 : 7,301.02 = 3,311.16 : x
  2. Step 2: Convert to fraction form
    4,867.34/7,301.02 = 3,311.16/x
  3. Step 3: Cross multiply
    4,867.34x = 7,301.02 × 3,311.16
  4. Step 4: Simplify right side
    4,867.34x = 24,174,845.38
  5. Step 5: Solve for x
    x = 24,174,845.38/4,867.34
  6. Step 6: Final answer
    x = 4,966.75

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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.