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Finding the Fourth Proportional to 4,406.58, 6,608.30 and 1,285.77

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Solution

The fourth proportional to 4,406.58, 6,608.30 and 1,285.77 is: 1,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.58 : 6,608.30 = 1,285.77 : x
  2. Step 2: Convert to fraction form
    4,406.58/6,608.30 = 1,285.77/x
  3. Step 3: Cross multiply
    4,406.58x = 6,608.30 × 1,285.77
  4. Step 4: Simplify right side
    4,406.58x = 8,496,774.05
  5. Step 5: Solve for x
    x = 8,496,774.05/4,406.58
  6. Step 6: Final answer
    x = 1,928.20

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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.