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Finding the Fourth Proportional to 4,274.61, 5,894.31 and 2,779.76

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Solution

The fourth proportional to 4,274.61, 5,894.31 and 2,779.76 is: 3,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.61 : 5,894.31 = 2,779.76 : x
  2. Step 2: Convert to fraction form
    4,274.61/5,894.31 = 2,779.76/x
  3. Step 3: Cross multiply
    4,274.61x = 5,894.31 × 2,779.76
  4. Step 4: Simplify right side
    4,274.61x = 16,384,748.93
  5. Step 5: Solve for x
    x = 16,384,748.93/4,274.61
  6. Step 6: Final answer
    x = 3,833.04

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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.