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Finding the Fourth Proportional to 3,430.69, 5,145.77 and 1,090.60

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Solution

The fourth proportional to 3,430.69, 5,145.77 and 1,090.60 is: 1,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.69 : 5,145.77 = 1,090.60 : x
  2. Step 2: Convert to fraction form
    3,430.69/5,145.77 = 1,090.60/x
  3. Step 3: Cross multiply
    3,430.69x = 5,145.77 × 1,090.60
  4. Step 4: Simplify right side
    3,430.69x = 5,611,955.00
  5. Step 5: Solve for x
    x = 5,611,955.00/3,430.69
  6. Step 6: Final answer
    x = 1,635.81

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