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Finding the Fourth Proportional to 5,194.63, 7,792.35 and 1,731.88

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Solution

The fourth proportional to 5,194.63, 7,792.35 and 1,731.88 is: 2,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.63 : 7,792.35 = 1,731.88 : x
  2. Step 2: Convert to fraction form
    5,194.63/7,792.35 = 1,731.88/x
  3. Step 3: Cross multiply
    5,194.63x = 7,792.35 × 1,731.88
  4. Step 4: Simplify right side
    5,194.63x = 13,495,367.50
  5. Step 5: Solve for x
    x = 13,495,367.50/5,194.63
  6. Step 6: Final answer
    x = 2,597.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.