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Finding the Fourth Proportional to 4,806.74, 7,209 and 1,844.17

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Solution

The fourth proportional to 4,806.74, 7,209 and 1,844.17 is: 2,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.74 : 7,209 = 1,844.17 : x
  2. Step 2: Convert to fraction form
    4,806.74/7,209 = 1,844.17/x
  3. Step 3: Cross multiply
    4,806.74x = 7,209 × 1,844.17
  4. Step 4: Simplify right side
    4,806.74x = 13,294,603.51
  5. Step 5: Solve for x
    x = 13,294,603.51/4,806.74
  6. Step 6: Final answer
    x = 2,765.82

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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.