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Finding the Fourth Proportional to 5,137.84, 7,705.14 and 1,439.79

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Solution

The fourth proportional to 5,137.84, 7,705.14 and 1,439.79 is: 2,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.84 : 7,705.14 = 1,439.79 : x
  2. Step 2: Convert to fraction form
    5,137.84/7,705.14 = 1,439.79/x
  3. Step 3: Cross multiply
    5,137.84x = 7,705.14 × 1,439.79
  4. Step 4: Simplify right side
    5,137.84x = 11,093,783.52
  5. Step 5: Solve for x
    x = 11,093,783.52/5,137.84
  6. Step 6: Final answer
    x = 2,159.23

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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.