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Finding the Fourth Proportional to 5,830.80, 8,767.80 and 4,880.40

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Solution

The fourth proportional to 5,830.80, 8,767.80 and 4,880.40 is: 7,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.80 : 8,767.80 = 4,880.40 : x
  2. Step 2: Convert to fraction form
    5,830.80/8,767.80 = 4,880.40/x
  3. Step 3: Cross multiply
    5,830.80x = 8,767.80 × 4,880.40
  4. Step 4: Simplify right side
    5,830.80x = 42,790,371.12
  5. Step 5: Solve for x
    x = 42,790,371.12/5,830.80
  6. Step 6: Final answer
    x = 7,338.68

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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.