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Finding the Fourth Proportional to 5,805.42, 8,011.35 and 3,152.77

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Solution

The fourth proportional to 5,805.42, 8,011.35 and 3,152.77 is: 4,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.42 : 8,011.35 = 3,152.77 : x
  2. Step 2: Convert to fraction form
    5,805.42/8,011.35 = 3,152.77/x
  3. Step 3: Cross multiply
    5,805.42x = 8,011.35 × 3,152.77
  4. Step 4: Simplify right side
    5,805.42x = 25,257,928.18
  5. Step 5: Solve for x
    x = 25,257,928.18/5,805.42
  6. Step 6: Final answer
    x = 4,350.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.