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Finding the Fourth Proportional to 5,830.08, 8,747.70 and 3,056.09

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Solution

The fourth proportional to 5,830.08, 8,747.70 and 3,056.09 is: 4,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.08 : 8,747.70 = 3,056.09 : x
  2. Step 2: Convert to fraction form
    5,830.08/8,747.70 = 3,056.09/x
  3. Step 3: Cross multiply
    5,830.08x = 8,747.70 × 3,056.09
  4. Step 4: Simplify right side
    5,830.08x = 26,733,758.49
  5. Step 5: Solve for x
    x = 26,733,758.49/5,830.08
  6. Step 6: Final answer
    x = 4,585.49

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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.