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Finding the Fourth Proportional to 5,706.36, 8,560.80 and 1,757.64

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Solution

The fourth proportional to 5,706.36, 8,560.80 and 1,757.64 is: 2,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.36 : 8,560.80 = 1,757.64 : x
  2. Step 2: Convert to fraction form
    5,706.36/8,560.80 = 1,757.64/x
  3. Step 3: Cross multiply
    5,706.36x = 8,560.80 × 1,757.64
  4. Step 4: Simplify right side
    5,706.36x = 15,046,804.51
  5. Step 5: Solve for x
    x = 15,046,804.51/5,706.36
  6. Step 6: Final answer
    x = 2,636.85

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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.