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Finding the Fourth Proportional to 4,507.56, 6,762.13 and 2,171.78

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Solution

The fourth proportional to 4,507.56, 6,762.13 and 2,171.78 is: 3,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.56 : 6,762.13 = 2,171.78 : x
  2. Step 2: Convert to fraction form
    4,507.56/6,762.13 = 2,171.78/x
  3. Step 3: Cross multiply
    4,507.56x = 6,762.13 × 2,171.78
  4. Step 4: Simplify right side
    4,507.56x = 14,685,844.81
  5. Step 5: Solve for x
    x = 14,685,844.81/4,507.56
  6. Step 6: Final answer
    x = 3,258.05

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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.