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Finding the Fourth Proportional to 5,804.78, 8,705.88 and 1,644.69

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Solution

The fourth proportional to 5,804.78, 8,705.88 and 1,644.69 is: 2,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.78 : 8,705.88 = 1,644.69 : x
  2. Step 2: Convert to fraction form
    5,804.78/8,705.88 = 1,644.69/x
  3. Step 3: Cross multiply
    5,804.78x = 8,705.88 × 1,644.69
  4. Step 4: Simplify right side
    5,804.78x = 14,318,499.39
  5. Step 5: Solve for x
    x = 14,318,499.39/5,804.78
  6. Step 6: Final answer
    x = 2,466.68

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1.5x scale

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.