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Finding the Fourth Proportional to 5,194.95, 7,759.28 and 4,700.60

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Solution

The fourth proportional to 5,194.95, 7,759.28 and 4,700.60 is: 7,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.95 : 7,759.28 = 4,700.60 : x
  2. Step 2: Convert to fraction form
    5,194.95/7,759.28 = 4,700.60/x
  3. Step 3: Cross multiply
    5,194.95x = 7,759.28 × 4,700.60
  4. Step 4: Simplify right side
    5,194.95x = 36,473,253.79
  5. Step 5: Solve for x
    x = 36,473,253.79/5,194.95
  6. Step 6: Final answer
    x = 7,020.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.