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Finding the Fourth Proportional to 4,804.84, 7,207.49 and 1,427.29

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Solution

The fourth proportional to 4,804.84, 7,207.49 and 1,427.29 is: 2,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.84 : 7,207.49 = 1,427.29 : x
  2. Step 2: Convert to fraction form
    4,804.84/7,207.49 = 1,427.29/x
  3. Step 3: Cross multiply
    4,804.84x = 7,207.49 × 1,427.29
  4. Step 4: Simplify right side
    4,804.84x = 10,287,153.25
  5. Step 5: Solve for x
    x = 10,287,153.25/4,804.84
  6. Step 6: Final answer
    x = 2,141.00

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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.