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Finding the Fourth Proportional to 5,000.42, 7,441.61 and 4,834.30

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Solution

The fourth proportional to 5,000.42, 7,441.61 and 4,834.30 is: 7,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.42 : 7,441.61 = 4,834.30 : x
  2. Step 2: Convert to fraction form
    5,000.42/7,441.61 = 4,834.30/x
  3. Step 3: Cross multiply
    5,000.42x = 7,441.61 × 4,834.30
  4. Step 4: Simplify right side
    5,000.42x = 35,974,975.22
  5. Step 5: Solve for x
    x = 35,974,975.22/5,000.42
  6. Step 6: Final answer
    x = 7,194.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.