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Finding the Fourth Proportional to 5,054.69, 7,583.76 and 2,094.74

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Solution

The fourth proportional to 5,054.69, 7,583.76 and 2,094.74 is: 3,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.69 : 7,583.76 = 2,094.74 : x
  2. Step 2: Convert to fraction form
    5,054.69/7,583.76 = 2,094.74/x
  3. Step 3: Cross multiply
    5,054.69x = 7,583.76 × 2,094.74
  4. Step 4: Simplify right side
    5,054.69x = 15,885,967.50
  5. Step 5: Solve for x
    x = 15,885,967.50/5,054.69
  6. Step 6: Final answer
    x = 3,142.82

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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.