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Finding the Fourth Proportional to 5,204.80, 7,807.20 and 4,783.60

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Solution

The fourth proportional to 5,204.80, 7,807.20 and 4,783.60 is: 7,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.80 : 7,807.20 = 4,783.60 : x
  2. Step 2: Convert to fraction form
    5,204.80/7,807.20 = 4,783.60/x
  3. Step 3: Cross multiply
    5,204.80x = 7,807.20 × 4,783.60
  4. Step 4: Simplify right side
    5,204.80x = 37,346,521.92
  5. Step 5: Solve for x
    x = 37,346,521.92/5,204.80
  6. Step 6: Final answer
    x = 7,175.40

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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.