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Finding the Fourth Proportional to 4,176.54, 6,265.07 and 1,402.98

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Solution

The fourth proportional to 4,176.54, 6,265.07 and 1,402.98 is: 2,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.54 : 6,265.07 = 1,402.98 : x
  2. Step 2: Convert to fraction form
    4,176.54/6,265.07 = 1,402.98/x
  3. Step 3: Cross multiply
    4,176.54x = 6,265.07 × 1,402.98
  4. Step 4: Simplify right side
    4,176.54x = 8,789,760.89
  5. Step 5: Solve for x
    x = 8,789,760.89/4,176.54
  6. Step 6: Final answer
    x = 2,104.56

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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.