Home / 3,406.37-5,102.60-1,646.06

Finding the Fourth Proportional to 3,406.37, 5,102.60 and 1,646.06

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Solution

The fourth proportional to 3,406.37, 5,102.60 and 1,646.06 is: 2,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.37 : 5,102.60 = 1,646.06 : x
  2. Step 2: Convert to fraction form
    3,406.37/5,102.60 = 1,646.06/x
  3. Step 3: Cross multiply
    3,406.37x = 5,102.60 × 1,646.06
  4. Step 4: Simplify right side
    3,406.37x = 8,399,152.01
  5. Step 5: Solve for x
    x = 8,399,152.01/3,406.37
  6. Step 6: Final answer
    x = 2,465.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.