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Finding the Fourth Proportional to 3,354.34, 4,628.62 and 1,862.23

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Solution

The fourth proportional to 3,354.34, 4,628.62 and 1,862.23 is: 2,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.34 : 4,628.62 = 1,862.23 : x
  2. Step 2: Convert to fraction form
    3,354.34/4,628.62 = 1,862.23/x
  3. Step 3: Cross multiply
    3,354.34x = 4,628.62 × 1,862.23
  4. Step 4: Simplify right side
    3,354.34x = 8,619,555.02
  5. Step 5: Solve for x
    x = 8,619,555.02/3,354.34
  6. Step 6: Final answer
    x = 2,569.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.