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Finding the Fourth Proportional to 4,706.98, 7,058.28 and 1,745.31

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Solution

The fourth proportional to 4,706.98, 7,058.28 and 1,745.31 is: 2,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.98 : 7,058.28 = 1,745.31 : x
  2. Step 2: Convert to fraction form
    4,706.98/7,058.28 = 1,745.31/x
  3. Step 3: Cross multiply
    4,706.98x = 7,058.28 × 1,745.31
  4. Step 4: Simplify right side
    4,706.98x = 12,318,855.22
  5. Step 5: Solve for x
    x = 12,318,855.22/4,706.98
  6. Step 6: Final answer
    x = 2,617.15

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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.