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Finding the Fourth Proportional to 3,568.16, 4,924.56 and 2,977.76

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Solution

The fourth proportional to 3,568.16, 4,924.56 and 2,977.76 is: 4,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.16 : 4,924.56 = 2,977.76 : x
  2. Step 2: Convert to fraction form
    3,568.16/4,924.56 = 2,977.76/x
  3. Step 3: Cross multiply
    3,568.16x = 4,924.56 × 2,977.76
  4. Step 4: Simplify right side
    3,568.16x = 14,664,157.79
  5. Step 5: Solve for x
    x = 14,664,157.79/3,568.16
  6. Step 6: Final answer
    x = 4,109.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.