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Finding the Fourth Proportional to 5,094, 7,641.48 and 1,806.96

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Solution

The fourth proportional to 5,094, 7,641.48 and 1,806.96 is: 2,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094 : 7,641.48 = 1,806.96 : x
  2. Step 2: Convert to fraction form
    5,094/7,641.48 = 1,806.96/x
  3. Step 3: Cross multiply
    5,094x = 7,641.48 × 1,806.96
  4. Step 4: Simplify right side
    5,094x = 13,807,848.70
  5. Step 5: Solve for x
    x = 13,807,848.70/5,094
  6. Step 6: Final answer
    x = 2,710.61

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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.