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Finding the Fourth Proportional to 4,375.64, 6,562.82 and 1,877.82

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Solution

The fourth proportional to 4,375.64, 6,562.82 and 1,877.82 is: 2,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.64 : 6,562.82 = 1,877.82 : x
  2. Step 2: Convert to fraction form
    4,375.64/6,562.82 = 1,877.82/x
  3. Step 3: Cross multiply
    4,375.64x = 6,562.82 × 1,877.82
  4. Step 4: Simplify right side
    4,375.64x = 12,323,794.65
  5. Step 5: Solve for x
    x = 12,323,794.65/4,375.64
  6. Step 6: Final answer
    x = 2,816.46

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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.