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Finding the Fourth Proportional to 5,706.37, 7,880.18 and 5,395.75

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Solution

The fourth proportional to 5,706.37, 7,880.18 and 5,395.75 is: 7,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.37 : 7,880.18 = 5,395.75 : x
  2. Step 2: Convert to fraction form
    5,706.37/7,880.18 = 5,395.75/x
  3. Step 3: Cross multiply
    5,706.37x = 7,880.18 × 5,395.75
  4. Step 4: Simplify right side
    5,706.37x = 42,519,449.73
  5. Step 5: Solve for x
    x = 42,519,449.73/5,706.37
  6. Step 6: Final answer
    x = 7,451.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.