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Finding the Fourth Proportional to 3,803.60, 5,340.40 and 3,803.60

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Solution

The fourth proportional to 3,803.60, 5,340.40 and 3,803.60 is: 5,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.60 : 5,340.40 = 3,803.60 : x
  2. Step 2: Convert to fraction form
    3,803.60/5,340.40 = 3,803.60/x
  3. Step 3: Cross multiply
    3,803.60x = 5,340.40 × 3,803.60
  4. Step 4: Simplify right side
    3,803.60x = 20,312,745.44
  5. Step 5: Solve for x
    x = 20,312,745.44/3,803.60
  6. Step 6: Final answer
    x = 5,340.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.