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Finding the Fourth Proportional to 3,457.53, 5,180.72 and 2,070.20

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Solution

The fourth proportional to 3,457.53, 5,180.72 and 2,070.20 is: 3,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.53 : 5,180.72 = 2,070.20 : x
  2. Step 2: Convert to fraction form
    3,457.53/5,180.72 = 2,070.20/x
  3. Step 3: Cross multiply
    3,457.53x = 5,180.72 × 2,070.20
  4. Step 4: Simplify right side
    3,457.53x = 10,725,129.14
  5. Step 5: Solve for x
    x = 10,725,129.14/3,457.53
  6. Step 6: Final answer
    x = 3,101.96

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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.