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Finding the Fourth Proportional to 4,663.48, 6,990.16 and 2,325.23

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Solution

The fourth proportional to 4,663.48, 6,990.16 and 2,325.23 is: 3,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.48 : 6,990.16 = 2,325.23 : x
  2. Step 2: Convert to fraction form
    4,663.48/6,990.16 = 2,325.23/x
  3. Step 3: Cross multiply
    4,663.48x = 6,990.16 × 2,325.23
  4. Step 4: Simplify right side
    4,663.48x = 16,253,729.74
  5. Step 5: Solve for x
    x = 16,253,729.74/4,663.48
  6. Step 6: Final answer
    x = 3,485.32

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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.