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Finding the Fourth Proportional to 6,090.69, 8,405.40 and 3,438.10

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Solution

The fourth proportional to 6,090.69, 8,405.40 and 3,438.10 is: 4,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.69 : 8,405.40 = 3,438.10 : x
  2. Step 2: Convert to fraction form
    6,090.69/8,405.40 = 3,438.10/x
  3. Step 3: Cross multiply
    6,090.69x = 8,405.40 × 3,438.10
  4. Step 4: Simplify right side
    6,090.69x = 28,898,605.74
  5. Step 5: Solve for x
    x = 28,898,605.74/6,090.69
  6. Step 6: Final answer
    x = 4,744.72

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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.