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Finding the Fourth Proportional to 3,482.58, 5,223.87 and 850.08

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Solution

The fourth proportional to 3,482.58, 5,223.87 and 850.08 is: 1,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.58 : 5,223.87 = 850.08 : x
  2. Step 2: Convert to fraction form
    3,482.58/5,223.87 = 850.08/x
  3. Step 3: Cross multiply
    3,482.58x = 5,223.87 × 850.08
  4. Step 4: Simplify right side
    3,482.58x = 4,440,707.41
  5. Step 5: Solve for x
    x = 4,440,707.41/3,482.58
  6. Step 6: Final answer
    x = 1,275.12

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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.