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Finding the Fourth Proportional to 4,705.44, 7,059.08 and 1,418.40

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Solution

The fourth proportional to 4,705.44, 7,059.08 and 1,418.40 is: 2,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.44 : 7,059.08 = 1,418.40 : x
  2. Step 2: Convert to fraction form
    4,705.44/7,059.08 = 1,418.40/x
  3. Step 3: Cross multiply
    4,705.44x = 7,059.08 × 1,418.40
  4. Step 4: Simplify right side
    4,705.44x = 10,012,599.07
  5. Step 5: Solve for x
    x = 10,012,599.07/4,705.44
  6. Step 6: Final answer
    x = 2,127.88

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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.