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Finding the Fourth Proportional to 5,828.94, 8,044.10 and 3,176.40

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Solution

The fourth proportional to 5,828.94, 8,044.10 and 3,176.40 is: 4,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.94 : 8,044.10 = 3,176.40 : x
  2. Step 2: Convert to fraction form
    5,828.94/8,044.10 = 3,176.40/x
  3. Step 3: Cross multiply
    5,828.94x = 8,044.10 × 3,176.40
  4. Step 4: Simplify right side
    5,828.94x = 25,551,279.24
  5. Step 5: Solve for x
    x = 25,551,279.24/5,828.94
  6. Step 6: Final answer
    x = 4,383.52

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