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Finding the Fourth Proportional to 4,705.85, 7,058.77 and 2,106.96

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Solution

The fourth proportional to 4,705.85, 7,058.77 and 2,106.96 is: 3,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.85 : 7,058.77 = 2,106.96 : x
  2. Step 2: Convert to fraction form
    4,705.85/7,058.77 = 2,106.96/x
  3. Step 3: Cross multiply
    4,705.85x = 7,058.77 × 2,106.96
  4. Step 4: Simplify right side
    4,705.85x = 14,872,559.93
  5. Step 5: Solve for x
    x = 14,872,559.93/4,705.85
  6. Step 6: Final answer
    x = 3,160.44

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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.