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Finding the Fourth Proportional to 5,830.86, 8,747.66 and 1,670.94

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Solution

The fourth proportional to 5,830.86, 8,747.66 and 1,670.94 is: 2,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.86 : 8,747.66 = 1,670.94 : x
  2. Step 2: Convert to fraction form
    5,830.86/8,747.66 = 1,670.94/x
  3. Step 3: Cross multiply
    5,830.86x = 8,747.66 × 1,670.94
  4. Step 4: Simplify right side
    5,830.86x = 14,616,815.00
  5. Step 5: Solve for x
    x = 14,616,815.00/5,830.86
  6. Step 6: Final answer
    x = 2,506.80

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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.