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Finding the Fourth Proportional to 5,333.06, 8,000.06 and 1,822.93

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Solution

The fourth proportional to 5,333.06, 8,000.06 and 1,822.93 is: 2,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.06 : 8,000.06 = 1,822.93 : x
  2. Step 2: Convert to fraction form
    5,333.06/8,000.06 = 1,822.93/x
  3. Step 3: Cross multiply
    5,333.06x = 8,000.06 × 1,822.93
  4. Step 4: Simplify right side
    5,333.06x = 14,583,520.26
  5. Step 5: Solve for x
    x = 14,583,520.26/5,333.06
  6. Step 6: Final answer
    x = 2,734.55

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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.