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Finding the Fourth Proportional to 4,705.70, 7,058.88 and 1,418.82

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Solution

The fourth proportional to 4,705.70, 7,058.88 and 1,418.82 is: 2,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.70 : 7,058.88 = 1,418.82 : x
  2. Step 2: Convert to fraction form
    4,705.70/7,058.88 = 1,418.82/x
  3. Step 3: Cross multiply
    4,705.70x = 7,058.88 × 1,418.82
  4. Step 4: Simplify right side
    4,705.70x = 10,015,280.12
  5. Step 5: Solve for x
    x = 10,015,280.12/4,705.70
  6. Step 6: Final answer
    x = 2,128.33

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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.