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Finding the Fourth Proportional to 4,970.53, 6,856.46 and 3,104.29

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Solution

The fourth proportional to 4,970.53, 6,856.46 and 3,104.29 is: 4,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.53 : 6,856.46 = 3,104.29 : x
  2. Step 2: Convert to fraction form
    4,970.53/6,856.46 = 3,104.29/x
  3. Step 3: Cross multiply
    4,970.53x = 6,856.46 × 3,104.29
  4. Step 4: Simplify right side
    4,970.53x = 21,284,405.93
  5. Step 5: Solve for x
    x = 21,284,405.93/4,970.53
  6. Step 6: Final answer
    x = 4,282.12

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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.