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Finding the Fourth Proportional to 3,503.80, 4,820.34 and 3,406.60

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Solution

The fourth proportional to 3,503.80, 4,820.34 and 3,406.60 is: 4,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.80 : 4,820.34 = 3,406.60 : x
  2. Step 2: Convert to fraction form
    3,503.80/4,820.34 = 3,406.60/x
  3. Step 3: Cross multiply
    3,503.80x = 4,820.34 × 3,406.60
  4. Step 4: Simplify right side
    3,503.80x = 16,420,970.24
  5. Step 5: Solve for x
    x = 16,420,970.24/3,503.80
  6. Step 6: Final answer
    x = 4,686.62

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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.