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Finding the Fourth Proportional to 5,813.20, 8,003.64 and 4,927.60

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Solution

The fourth proportional to 5,813.20, 8,003.64 and 4,927.60 is: 6,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.20 : 8,003.64 = 4,927.60 : x
  2. Step 2: Convert to fraction form
    5,813.20/8,003.64 = 4,927.60/x
  3. Step 3: Cross multiply
    5,813.20x = 8,003.64 × 4,927.60
  4. Step 4: Simplify right side
    5,813.20x = 39,438,736.46
  5. Step 5: Solve for x
    x = 39,438,736.46/5,813.20
  6. Step 6: Final answer
    x = 6,784.34

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1.5x scale

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.