Home / 3,734.58-5,602.71-1,102.06

Finding the Fourth Proportional to 3,734.58, 5,602.71 and 1,102.06

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Solution

The fourth proportional to 3,734.58, 5,602.71 and 1,102.06 is: 1,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.58 : 5,602.71 = 1,102.06 : x
  2. Step 2: Convert to fraction form
    3,734.58/5,602.71 = 1,102.06/x
  3. Step 3: Cross multiply
    3,734.58x = 5,602.71 × 1,102.06
  4. Step 4: Simplify right side
    3,734.58x = 6,174,533.72
  5. Step 5: Solve for x
    x = 6,174,533.72/3,734.58
  6. Step 6: Final answer
    x = 1,653.34

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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.