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Finding the Fourth Proportional to 5,783.88, 8,678.58 and 3,009.96

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Solution

The fourth proportional to 5,783.88, 8,678.58 and 3,009.96 is: 4,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.88 : 8,678.58 = 3,009.96 : x
  2. Step 2: Convert to fraction form
    5,783.88/8,678.58 = 3,009.96/x
  3. Step 3: Cross multiply
    5,783.88x = 8,678.58 × 3,009.96
  4. Step 4: Simplify right side
    5,783.88x = 26,122,178.66
  5. Step 5: Solve for x
    x = 26,122,178.66/5,783.88
  6. Step 6: Final answer
    x = 4,516.38

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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.