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Finding the Fourth Proportional to 5,059, 7,583.29 and 1,938.28

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Solution

The fourth proportional to 5,059, 7,583.29 and 1,938.28 is: 2,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059 : 7,583.29 = 1,938.28 : x
  2. Step 2: Convert to fraction form
    5,059/7,583.29 = 1,938.28/x
  3. Step 3: Cross multiply
    5,059x = 7,583.29 × 1,938.28
  4. Step 4: Simplify right side
    5,059x = 14,698,539.34
  5. Step 5: Solve for x
    x = 14,698,539.34/5,059
  6. Step 6: Final answer
    x = 2,905.42

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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.