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Finding the Fourth Proportional to 5,984.80, 8,977.20 and 4,235.20

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Solution

The fourth proportional to 5,984.80, 8,977.20 and 4,235.20 is: 6,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.80 : 8,977.20 = 4,235.20 : x
  2. Step 2: Convert to fraction form
    5,984.80/8,977.20 = 4,235.20/x
  3. Step 3: Cross multiply
    5,984.80x = 8,977.20 × 4,235.20
  4. Step 4: Simplify right side
    5,984.80x = 38,020,237.44
  5. Step 5: Solve for x
    x = 38,020,237.44/5,984.80
  6. Step 6: Final answer
    x = 6,352.80

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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.