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Finding the Fourth Proportional to 4,535.16, 6,798 and 3,074.40

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Solution

The fourth proportional to 4,535.16, 6,798 and 3,074.40 is: 4,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.16 : 6,798 = 3,074.40 : x
  2. Step 2: Convert to fraction form
    4,535.16/6,798 = 3,074.40/x
  3. Step 3: Cross multiply
    4,535.16x = 6,798 × 3,074.40
  4. Step 4: Simplify right side
    4,535.16x = 20,899,771.20
  5. Step 5: Solve for x
    x = 20,899,771.20/4,535.16
  6. Step 6: Final answer
    x = 4,608.39

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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.