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Finding the Fourth Proportional to 4,705.24, 7,059.48 and 1,419.07

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Solution

The fourth proportional to 4,705.24, 7,059.48 and 1,419.07 is: 2,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.24 : 7,059.48 = 1,419.07 : x
  2. Step 2: Convert to fraction form
    4,705.24/7,059.48 = 1,419.07/x
  3. Step 3: Cross multiply
    4,705.24x = 7,059.48 × 1,419.07
  4. Step 4: Simplify right side
    4,705.24x = 10,017,896.28
  5. Step 5: Solve for x
    x = 10,017,896.28/4,705.24
  6. Step 6: Final answer
    x = 2,129.09

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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.