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Finding the Fourth Proportional to 5,830.54, 8,046 and 3,178

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Solution

The fourth proportional to 5,830.54, 8,046 and 3,178 is: 4,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.54 : 8,046 = 3,178 : x
  2. Step 2: Convert to fraction form
    5,830.54/8,046 = 3,178/x
  3. Step 3: Cross multiply
    5,830.54x = 8,046 × 3,178
  4. Step 4: Simplify right side
    5,830.54x = 25,570,188
  5. Step 5: Solve for x
    x = 25,570,188/5,830.54
  6. Step 6: Final answer
    x = 4,385.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.