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Finding the Fourth Proportional to 4,970.34, 6,851.84 and 3,473.62

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Solution

The fourth proportional to 4,970.34, 6,851.84 and 3,473.62 is: 4,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.34 : 6,851.84 = 3,473.62 : x
  2. Step 2: Convert to fraction form
    4,970.34/6,851.84 = 3,473.62/x
  3. Step 3: Cross multiply
    4,970.34x = 6,851.84 × 3,473.62
  4. Step 4: Simplify right side
    4,970.34x = 23,800,680.02
  5. Step 5: Solve for x
    x = 23,800,680.02/4,970.34
  6. Step 6: Final answer
    x = 4,788.54

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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.