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Finding the Fourth Proportional to 3,500.39, 5,250.53 and 1,420.38

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Solution

The fourth proportional to 3,500.39, 5,250.53 and 1,420.38 is: 2,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.39 : 5,250.53 = 1,420.38 : x
  2. Step 2: Convert to fraction form
    3,500.39/5,250.53 = 1,420.38/x
  3. Step 3: Cross multiply
    3,500.39x = 5,250.53 × 1,420.38
  4. Step 4: Simplify right side
    3,500.39x = 7,457,740.70
  5. Step 5: Solve for x
    x = 7,457,740.70/3,500.39
  6. Step 6: Final answer
    x = 2,130.55

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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.