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Finding the Fourth Proportional to 6,090.96, 8,405.58 and 3,574.50

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Solution

The fourth proportional to 6,090.96, 8,405.58 and 3,574.50 is: 4,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.96 : 8,405.58 = 3,574.50 : x
  2. Step 2: Convert to fraction form
    6,090.96/8,405.58 = 3,574.50/x
  3. Step 3: Cross multiply
    6,090.96x = 8,405.58 × 3,574.50
  4. Step 4: Simplify right side
    6,090.96x = 30,045,745.71
  5. Step 5: Solve for x
    x = 30,045,745.71/6,090.96
  6. Step 6: Final answer
    x = 4,932.84

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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.