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Finding the Fourth Proportional to 4,846.64, 7,259.40 and 3,801.20

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Solution

The fourth proportional to 4,846.64, 7,259.40 and 3,801.20 is: 5,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.64 : 7,259.40 = 3,801.20 : x
  2. Step 2: Convert to fraction form
    4,846.64/7,259.40 = 3,801.20/x
  3. Step 3: Cross multiply
    4,846.64x = 7,259.40 × 3,801.20
  4. Step 4: Simplify right side
    4,846.64x = 27,594,431.28
  5. Step 5: Solve for x
    x = 27,594,431.28/4,846.64
  6. Step 6: Final answer
    x = 5,693.52

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Half scale
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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.