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Finding the Fourth Proportional to 3,407.36, 5,112.54 and 1,848.50

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Solution

The fourth proportional to 3,407.36, 5,112.54 and 1,848.50 is: 2,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.36 : 5,112.54 = 1,848.50 : x
  2. Step 2: Convert to fraction form
    3,407.36/5,112.54 = 1,848.50/x
  3. Step 3: Cross multiply
    3,407.36x = 5,112.54 × 1,848.50
  4. Step 4: Simplify right side
    3,407.36x = 9,450,530.19
  5. Step 5: Solve for x
    x = 9,450,530.19/3,407.36
  6. Step 6: Final answer
    x = 2,773.56

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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.