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Finding the Fourth Proportional to 5,606.46, 8,410.95 and 1,711.26

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Solution

The fourth proportional to 5,606.46, 8,410.95 and 1,711.26 is: 2,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.46 : 8,410.95 = 1,711.26 : x
  2. Step 2: Convert to fraction form
    5,606.46/8,410.95 = 1,711.26/x
  3. Step 3: Cross multiply
    5,606.46x = 8,410.95 × 1,711.26
  4. Step 4: Simplify right side
    5,606.46x = 14,393,322.30
  5. Step 5: Solve for x
    x = 14,393,322.30/5,606.46
  6. Step 6: Final answer
    x = 2,567.27

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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.