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Finding the Fourth Proportional to 3,405.65, 5,111.58 and 1,763.37

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Solution

The fourth proportional to 3,405.65, 5,111.58 and 1,763.37 is: 2,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.65 : 5,111.58 = 1,763.37 : x
  2. Step 2: Convert to fraction form
    3,405.65/5,111.58 = 1,763.37/x
  3. Step 3: Cross multiply
    3,405.65x = 5,111.58 × 1,763.37
  4. Step 4: Simplify right side
    3,405.65x = 9,013,615.20
  5. Step 5: Solve for x
    x = 9,013,615.20/3,405.65
  6. Step 6: Final answer
    x = 2,646.67

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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.