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Finding the Fourth Proportional to 4,875.67, 6,728.43 and 2,779.75

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Solution

The fourth proportional to 4,875.67, 6,728.43 and 2,779.75 is: 3,836.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.67 : 6,728.43 = 2,779.75 : x
  2. Step 2: Convert to fraction form
    4,875.67/6,728.43 = 2,779.75/x
  3. Step 3: Cross multiply
    4,875.67x = 6,728.43 × 2,779.75
  4. Step 4: Simplify right side
    4,875.67x = 18,703,353.29
  5. Step 5: Solve for x
    x = 18,703,353.29/4,875.67
  6. Step 6: Final answer
    x = 3,836.06

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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.