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Finding the Fourth Proportional to 4,706.60, 7,057.56 and 2,109.20

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Solution

The fourth proportional to 4,706.60, 7,057.56 and 2,109.20 is: 3,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.60 : 7,057.56 = 2,109.20 : x
  2. Step 2: Convert to fraction form
    4,706.60/7,057.56 = 2,109.20/x
  3. Step 3: Cross multiply
    4,706.60x = 7,057.56 × 2,109.20
  4. Step 4: Simplify right side
    4,706.60x = 14,885,805.55
  5. Step 5: Solve for x
    x = 14,885,805.55/4,706.60
  6. Step 6: Final answer
    x = 3,162.75

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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.