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Finding the Fourth Proportional to 4,174.02, 6,258.93 and 1,575.13

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Solution

The fourth proportional to 4,174.02, 6,258.93 and 1,575.13 is: 2,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.02 : 6,258.93 = 1,575.13 : x
  2. Step 2: Convert to fraction form
    4,174.02/6,258.93 = 1,575.13/x
  3. Step 3: Cross multiply
    4,174.02x = 6,258.93 × 1,575.13
  4. Step 4: Simplify right side
    4,174.02x = 9,858,628.41
  5. Step 5: Solve for x
    x = 9,858,628.41/4,174.02
  6. Step 6: Final answer
    x = 2,361.90

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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.