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Finding the Fourth Proportional to 5,697.81, 8,544.63 and 2,411.16

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Solution

The fourth proportional to 5,697.81, 8,544.63 and 2,411.16 is: 3,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.81 : 8,544.63 = 2,411.16 : x
  2. Step 2: Convert to fraction form
    5,697.81/8,544.63 = 2,411.16/x
  3. Step 3: Cross multiply
    5,697.81x = 8,544.63 × 2,411.16
  4. Step 4: Simplify right side
    5,697.81x = 20,602,470.07
  5. Step 5: Solve for x
    x = 20,602,470.07/5,697.81
  6. Step 6: Final answer
    x = 3,615.86

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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.