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Finding the Fourth Proportional to 5,051.34, 6,976.70 and 3,370

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Solution

The fourth proportional to 5,051.34, 6,976.70 and 3,370 is: 4,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.34 : 6,976.70 = 3,370 : x
  2. Step 2: Convert to fraction form
    5,051.34/6,976.70 = 3,370/x
  3. Step 3: Cross multiply
    5,051.34x = 6,976.70 × 3,370
  4. Step 4: Simplify right side
    5,051.34x = 23,511,479
  5. Step 5: Solve for x
    x = 23,511,479/5,051.34
  6. Step 6: Final answer
    x = 4,654.50

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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.