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Finding the Fourth Proportional to 4,840.34, 6,678.50 and 3,071.30

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Solution

The fourth proportional to 4,840.34, 6,678.50 and 3,071.30 is: 4,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.34 : 6,678.50 = 3,071.30 : x
  2. Step 2: Convert to fraction form
    4,840.34/6,678.50 = 3,071.30/x
  3. Step 3: Cross multiply
    4,840.34x = 6,678.50 × 3,071.30
  4. Step 4: Simplify right side
    4,840.34x = 20,511,677.05
  5. Step 5: Solve for x
    x = 20,511,677.05/4,840.34
  6. Step 6: Final answer
    x = 4,237.65

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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.