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Finding the Fourth Proportional to 5,325.30, 7,348.77 and 2,967.30

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Solution

The fourth proportional to 5,325.30, 7,348.77 and 2,967.30 is: 4,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.30 : 7,348.77 = 2,967.30 : x
  2. Step 2: Convert to fraction form
    5,325.30/7,348.77 = 2,967.30/x
  3. Step 3: Cross multiply
    5,325.30x = 7,348.77 × 2,967.30
  4. Step 4: Simplify right side
    5,325.30x = 21,806,005.22
  5. Step 5: Solve for x
    x = 21,806,005.22/5,325.30
  6. Step 6: Final answer
    x = 4,094.79

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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.