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Finding the Fourth Proportional to 5,830.94, 8,046.72 and 3,178.34

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Solution

The fourth proportional to 5,830.94, 8,046.72 and 3,178.34 is: 4,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.94 : 8,046.72 = 3,178.34 : x
  2. Step 2: Convert to fraction form
    5,830.94/8,046.72 = 3,178.34/x
  3. Step 3: Cross multiply
    5,830.94x = 8,046.72 × 3,178.34
  4. Step 4: Simplify right side
    5,830.94x = 25,575,212.04
  5. Step 5: Solve for x
    x = 25,575,212.04/5,830.94
  6. Step 6: Final answer
    x = 4,386.12

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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.