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Finding the Fourth Proportional to 5,606.96, 8,411.52 and 1,711.94

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Solution

The fourth proportional to 5,606.96, 8,411.52 and 1,711.94 is: 2,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.96 : 8,411.52 = 1,711.94 : x
  2. Step 2: Convert to fraction form
    5,606.96/8,411.52 = 1,711.94/x
  3. Step 3: Cross multiply
    5,606.96x = 8,411.52 × 1,711.94
  4. Step 4: Simplify right side
    5,606.96x = 14,400,017.55
  5. Step 5: Solve for x
    x = 14,400,017.55/5,606.96
  6. Step 6: Final answer
    x = 2,568.24

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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.