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Finding the Fourth Proportional to 3,890.42, 5,836.59 and 1,258.19

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Solution

The fourth proportional to 3,890.42, 5,836.59 and 1,258.19 is: 1,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.42 : 5,836.59 = 1,258.19 : x
  2. Step 2: Convert to fraction form
    3,890.42/5,836.59 = 1,258.19/x
  3. Step 3: Cross multiply
    3,890.42x = 5,836.59 × 1,258.19
  4. Step 4: Simplify right side
    3,890.42x = 7,343,509.99
  5. Step 5: Solve for x
    x = 7,343,509.99/3,890.42
  6. Step 6: Final answer
    x = 1,887.59

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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.