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Finding the Fourth Proportional to 5,583.30, 8,362.80 and 4,611.30

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Solution

The fourth proportional to 5,583.30, 8,362.80 and 4,611.30 is: 6,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.30 : 8,362.80 = 4,611.30 : x
  2. Step 2: Convert to fraction form
    5,583.30/8,362.80 = 4,611.30/x
  3. Step 3: Cross multiply
    5,583.30x = 8,362.80 × 4,611.30
  4. Step 4: Simplify right side
    5,583.30x = 38,563,379.64
  5. Step 5: Solve for x
    x = 38,563,379.64/5,583.30
  6. Step 6: Final answer
    x = 6,906.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.