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Finding the Fourth Proportional to 4,705.29, 7,059.15 and 2,109.24

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Solution

The fourth proportional to 4,705.29, 7,059.15 and 2,109.24 is: 3,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.29 : 7,059.15 = 2,109.24 : x
  2. Step 2: Convert to fraction form
    4,705.29/7,059.15 = 2,109.24/x
  3. Step 3: Cross multiply
    4,705.29x = 7,059.15 × 2,109.24
  4. Step 4: Simplify right side
    4,705.29x = 14,889,441.55
  5. Step 5: Solve for x
    x = 14,889,441.55/4,705.29
  6. Step 6: Final answer
    x = 3,164.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.