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Finding the Fourth Proportional to 4,756.64, 7,133.56 and 1,792.94

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Solution

The fourth proportional to 4,756.64, 7,133.56 and 1,792.94 is: 2,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.64 : 7,133.56 = 1,792.94 : x
  2. Step 2: Convert to fraction form
    4,756.64/7,133.56 = 1,792.94/x
  3. Step 3: Cross multiply
    4,756.64x = 7,133.56 × 1,792.94
  4. Step 4: Simplify right side
    4,756.64x = 12,790,036.10
  5. Step 5: Solve for x
    x = 12,790,036.10/4,756.64
  6. Step 6: Final answer
    x = 2,688.88

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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.