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Finding the Fourth Proportional to 5,804.02, 8,704.70 and 1,644.46

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Solution

The fourth proportional to 5,804.02, 8,704.70 and 1,644.46 is: 2,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.02 : 8,704.70 = 1,644.46 : x
  2. Step 2: Convert to fraction form
    5,804.02/8,704.70 = 1,644.46/x
  3. Step 3: Cross multiply
    5,804.02x = 8,704.70 × 1,644.46
  4. Step 4: Simplify right side
    5,804.02x = 14,314,530.96
  5. Step 5: Solve for x
    x = 14,314,530.96/5,804.02
  6. Step 6: Final answer
    x = 2,466.31

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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.