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Finding the Fourth Proportional to 5,727.58, 8,594.16 and 2,804.32

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Solution

The fourth proportional to 5,727.58, 8,594.16 and 2,804.32 is: 4,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.58 : 8,594.16 = 2,804.32 : x
  2. Step 2: Convert to fraction form
    5,727.58/8,594.16 = 2,804.32/x
  3. Step 3: Cross multiply
    5,727.58x = 8,594.16 × 2,804.32
  4. Step 4: Simplify right side
    5,727.58x = 24,100,774.77
  5. Step 5: Solve for x
    x = 24,100,774.77/5,727.58
  6. Step 6: Final answer
    x = 4,207.85

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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.