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Finding the Fourth Proportional to 5,452.53, 7,524.06 and 3,094.67

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Solution

The fourth proportional to 5,452.53, 7,524.06 and 3,094.67 is: 4,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.53 : 7,524.06 = 3,094.67 : x
  2. Step 2: Convert to fraction form
    5,452.53/7,524.06 = 3,094.67/x
  3. Step 3: Cross multiply
    5,452.53x = 7,524.06 × 3,094.67
  4. Step 4: Simplify right side
    5,452.53x = 23,284,482.76
  5. Step 5: Solve for x
    x = 23,284,482.76/5,452.53
  6. Step 6: Final answer
    x = 4,270.40

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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.