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Finding the Fourth Proportional to 3,835.66, 5,750.10 and 2,271.82

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Solution

The fourth proportional to 3,835.66, 5,750.10 and 2,271.82 is: 3,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.66 : 5,750.10 = 2,271.82 : x
  2. Step 2: Convert to fraction form
    3,835.66/5,750.10 = 2,271.82/x
  3. Step 3: Cross multiply
    3,835.66x = 5,750.10 × 2,271.82
  4. Step 4: Simplify right side
    3,835.66x = 13,063,192.18
  5. Step 5: Solve for x
    x = 13,063,192.18/3,835.66
  6. Step 6: Final answer
    x = 3,405.72

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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.