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Finding the Fourth Proportional to 4,203.90, 5,795.55 and 3,496.77

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Solution

The fourth proportional to 4,203.90, 5,795.55 and 3,496.77 is: 4,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.90 : 5,795.55 = 3,496.77 : x
  2. Step 2: Convert to fraction form
    4,203.90/5,795.55 = 3,496.77/x
  3. Step 3: Cross multiply
    4,203.90x = 5,795.55 × 3,496.77
  4. Step 4: Simplify right side
    4,203.90x = 20,265,705.37
  5. Step 5: Solve for x
    x = 20,265,705.37/4,203.90
  6. Step 6: Final answer
    x = 4,820.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.