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Finding the Fourth Proportional to 4,801.82, 6,627.35 and 3,814.63

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Solution

The fourth proportional to 4,801.82, 6,627.35 and 3,814.63 is: 5,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.82 : 6,627.35 = 3,814.63 : x
  2. Step 2: Convert to fraction form
    4,801.82/6,627.35 = 3,814.63/x
  3. Step 3: Cross multiply
    4,801.82x = 6,627.35 × 3,814.63
  4. Step 4: Simplify right side
    4,801.82x = 25,280,888.13
  5. Step 5: Solve for x
    x = 25,280,888.13/4,801.82
  6. Step 6: Final answer
    x = 5,264.86

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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.