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Finding the Fourth Proportional to 4,762.56, 7,146.28 and 4,401.70

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Solution

The fourth proportional to 4,762.56, 7,146.28 and 4,401.70 is: 6,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.56 : 7,146.28 = 4,401.70 : x
  2. Step 2: Convert to fraction form
    4,762.56/7,146.28 = 4,401.70/x
  3. Step 3: Cross multiply
    4,762.56x = 7,146.28 × 4,401.70
  4. Step 4: Simplify right side
    4,762.56x = 31,455,780.68
  5. Step 5: Solve for x
    x = 31,455,780.68/4,762.56
  6. Step 6: Final answer
    x = 6,604.81

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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.