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Finding the Fourth Proportional to 3,039.20, 4,558.80 and 848.24

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Solution

The fourth proportional to 3,039.20, 4,558.80 and 848.24 is: 1,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.20 : 4,558.80 = 848.24 : x
  2. Step 2: Convert to fraction form
    3,039.20/4,558.80 = 848.24/x
  3. Step 3: Cross multiply
    3,039.20x = 4,558.80 × 848.24
  4. Step 4: Simplify right side
    3,039.20x = 3,866,956.51
  5. Step 5: Solve for x
    x = 3,866,956.51/3,039.20
  6. Step 6: Final answer
    x = 1,272.36

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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.