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Finding the Fourth Proportional to 5,783.30, 8,662.80 and 4,811.30

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Solution

The fourth proportional to 5,783.30, 8,662.80 and 4,811.30 is: 7,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.30 : 8,662.80 = 4,811.30 : x
  2. Step 2: Convert to fraction form
    5,783.30/8,662.80 = 4,811.30/x
  3. Step 3: Cross multiply
    5,783.30x = 8,662.80 × 4,811.30
  4. Step 4: Simplify right side
    5,783.30x = 41,679,329.64
  5. Step 5: Solve for x
    x = 41,679,329.64/5,783.30
  6. Step 6: Final answer
    x = 7,206.84

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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.