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Finding the Fourth Proportional to 3,503.10, 5,250.93 and 1,857.96

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Solution

The fourth proportional to 3,503.10, 5,250.93 and 1,857.96 is: 2,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.10 : 5,250.93 = 1,857.96 : x
  2. Step 2: Convert to fraction form
    3,503.10/5,250.93 = 1,857.96/x
  3. Step 3: Cross multiply
    3,503.10x = 5,250.93 × 1,857.96
  4. Step 4: Simplify right side
    3,503.10x = 9,756,017.90
  5. Step 5: Solve for x
    x = 9,756,017.90/3,503.10
  6. Step 6: Final answer
    x = 2,784.97

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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.