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Finding the Fourth Proportional to 4,302.57, 6,454.54 and 1,837.41

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Solution

The fourth proportional to 4,302.57, 6,454.54 and 1,837.41 is: 2,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.57 : 6,454.54 = 1,837.41 : x
  2. Step 2: Convert to fraction form
    4,302.57/6,454.54 = 1,837.41/x
  3. Step 3: Cross multiply
    4,302.57x = 6,454.54 × 1,837.41
  4. Step 4: Simplify right side
    4,302.57x = 11,859,604.10
  5. Step 5: Solve for x
    x = 11,859,604.10/4,302.57
  6. Step 6: Final answer
    x = 2,756.40

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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.