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Finding the Fourth Proportional to 4,507.64, 6,761.56 and 1,546.06

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Solution

The fourth proportional to 4,507.64, 6,761.56 and 1,546.06 is: 2,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.64 : 6,761.56 = 1,546.06 : x
  2. Step 2: Convert to fraction form
    4,507.64/6,761.56 = 1,546.06/x
  3. Step 3: Cross multiply
    4,507.64x = 6,761.56 × 1,546.06
  4. Step 4: Simplify right side
    4,507.64x = 10,453,777.45
  5. Step 5: Solve for x
    x = 10,453,777.45/4,507.64
  6. Step 6: Final answer
    x = 2,319.12

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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.