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Finding the Fourth Proportional to 3,259.20, 4,888.29 and 919.38

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Solution

The fourth proportional to 3,259.20, 4,888.29 and 919.38 is: 1,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.20 : 4,888.29 = 919.38 : x
  2. Step 2: Convert to fraction form
    3,259.20/4,888.29 = 919.38/x
  3. Step 3: Cross multiply
    3,259.20x = 4,888.29 × 919.38
  4. Step 4: Simplify right side
    3,259.20x = 4,494,196.06
  5. Step 5: Solve for x
    x = 4,494,196.06/3,259.20
  6. Step 6: Final answer
    x = 1,378.93

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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.