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Finding the Fourth Proportional to 5,678.86, 8,519.75 and 1,783.30

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Solution

The fourth proportional to 5,678.86, 8,519.75 and 1,783.30 is: 2,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.86 : 8,519.75 = 1,783.30 : x
  2. Step 2: Convert to fraction form
    5,678.86/8,519.75 = 1,783.30/x
  3. Step 3: Cross multiply
    5,678.86x = 8,519.75 × 1,783.30
  4. Step 4: Simplify right side
    5,678.86x = 15,193,270.18
  5. Step 5: Solve for x
    x = 15,193,270.18/5,678.86
  6. Step 6: Final answer
    x = 2,675.41

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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.