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Finding the Fourth Proportional to 5,084.68, 7,629.63 and 3,851.68

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Solution

The fourth proportional to 5,084.68, 7,629.63 and 3,851.68 is: 5,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.68 : 7,629.63 = 3,851.68 : x
  2. Step 2: Convert to fraction form
    5,084.68/7,629.63 = 3,851.68/x
  3. Step 3: Cross multiply
    5,084.68x = 7,629.63 × 3,851.68
  4. Step 4: Simplify right side
    5,084.68x = 29,386,893.28
  5. Step 5: Solve for x
    x = 29,386,893.28/5,084.68
  6. Step 6: Final answer
    x = 5,779.50

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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.