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Finding the Fourth Proportional to 4,935.76, 7,402.55 and 1,425

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Solution

The fourth proportional to 4,935.76, 7,402.55 and 1,425 is: 2,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.76 : 7,402.55 = 1,425 : x
  2. Step 2: Convert to fraction form
    4,935.76/7,402.55 = 1,425/x
  3. Step 3: Cross multiply
    4,935.76x = 7,402.55 × 1,425
  4. Step 4: Simplify right side
    4,935.76x = 10,548,626.63
  5. Step 5: Solve for x
    x = 10,548,626.63/4,935.76
  6. Step 6: Final answer
    x = 2,137.18

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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.