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Finding the Fourth Proportional to 4,566.13, 6,849.19 and 3,527.64

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Solution

The fourth proportional to 4,566.13, 6,849.19 and 3,527.64 is: 5,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.13 : 6,849.19 = 3,527.64 : x
  2. Step 2: Convert to fraction form
    4,566.13/6,849.19 = 3,527.64/x
  3. Step 3: Cross multiply
    4,566.13x = 6,849.19 × 3,527.64
  4. Step 4: Simplify right side
    4,566.13x = 24,161,481.02
  5. Step 5: Solve for x
    x = 24,161,481.02/4,566.13
  6. Step 6: Final answer
    x = 5,291.46

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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.