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Finding the Fourth Proportional to 5,783.74, 8,668.41 and 3,008.95

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Solution

The fourth proportional to 5,783.74, 8,668.41 and 3,008.95 is: 4,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.74 : 8,668.41 = 3,008.95 : x
  2. Step 2: Convert to fraction form
    5,783.74/8,668.41 = 3,008.95/x
  3. Step 3: Cross multiply
    5,783.74x = 8,668.41 × 3,008.95
  4. Step 4: Simplify right side
    5,783.74x = 26,082,812.27
  5. Step 5: Solve for x
    x = 26,082,812.27/5,783.74
  6. Step 6: Final answer
    x = 4,509.68

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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.