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Finding the Fourth Proportional to 5,811.36, 8,704.60 and 5,406.76

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Solution

The fourth proportional to 5,811.36, 8,704.60 and 5,406.76 is: 8,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.36 : 8,704.60 = 5,406.76 : x
  2. Step 2: Convert to fraction form
    5,811.36/8,704.60 = 5,406.76/x
  3. Step 3: Cross multiply
    5,811.36x = 8,704.60 × 5,406.76
  4. Step 4: Simplify right side
    5,811.36x = 47,063,683.10
  5. Step 5: Solve for x
    x = 47,063,683.10/5,811.36
  6. Step 6: Final answer
    x = 8,098.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.