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Finding the Fourth Proportional to 5,778.26, 8,668.47 and 1,830.52

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Solution

The fourth proportional to 5,778.26, 8,668.47 and 1,830.52 is: 2,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.26 : 8,668.47 = 1,830.52 : x
  2. Step 2: Convert to fraction form
    5,778.26/8,668.47 = 1,830.52/x
  3. Step 3: Cross multiply
    5,778.26x = 8,668.47 × 1,830.52
  4. Step 4: Simplify right side
    5,778.26x = 15,867,807.70
  5. Step 5: Solve for x
    x = 15,867,807.70/5,778.26
  6. Step 6: Final answer
    x = 2,746.12

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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.