Home / 4,735.24-7,102.38-1,657

Finding the Fourth Proportional to 4,735.24, 7,102.38 and 1,657

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Solution

The fourth proportional to 4,735.24, 7,102.38 and 1,657 is: 2,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.24 : 7,102.38 = 1,657 : x
  2. Step 2: Convert to fraction form
    4,735.24/7,102.38 = 1,657/x
  3. Step 3: Cross multiply
    4,735.24x = 7,102.38 × 1,657
  4. Step 4: Simplify right side
    4,735.24x = 11,768,643.66
  5. Step 5: Solve for x
    x = 11,768,643.66/4,735.24
  6. Step 6: Final answer
    x = 2,485.33

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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.