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Finding the Fourth Proportional to 4,361.59, 6,544.12 and 1,588.46

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Solution

The fourth proportional to 4,361.59, 6,544.12 and 1,588.46 is: 2,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.59 : 6,544.12 = 1,588.46 : x
  2. Step 2: Convert to fraction form
    4,361.59/6,544.12 = 1,588.46/x
  3. Step 3: Cross multiply
    4,361.59x = 6,544.12 × 1,588.46
  4. Step 4: Simplify right side
    4,361.59x = 10,395,040.13
  5. Step 5: Solve for x
    x = 10,395,040.13/4,361.59
  6. Step 6: Final answer
    x = 2,383.31

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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.