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Finding the Fourth Proportional to 3,365.46, 5,048.19 and 1,610.05

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Solution

The fourth proportional to 3,365.46, 5,048.19 and 1,610.05 is: 2,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.46 : 5,048.19 = 1,610.05 : x
  2. Step 2: Convert to fraction form
    3,365.46/5,048.19 = 1,610.05/x
  3. Step 3: Cross multiply
    3,365.46x = 5,048.19 × 1,610.05
  4. Step 4: Simplify right side
    3,365.46x = 8,127,838.31
  5. Step 5: Solve for x
    x = 8,127,838.31/3,365.46
  6. Step 6: Final answer
    x = 2,415.08

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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.