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Finding the Fourth Proportional to 3,899.28, 5,848.92 and 977.58

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Solution

The fourth proportional to 3,899.28, 5,848.92 and 977.58 is: 1,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.28 : 5,848.92 = 977.58 : x
  2. Step 2: Convert to fraction form
    3,899.28/5,848.92 = 977.58/x
  3. Step 3: Cross multiply
    3,899.28x = 5,848.92 × 977.58
  4. Step 4: Simplify right side
    3,899.28x = 5,717,787.21
  5. Step 5: Solve for x
    x = 5,717,787.21/3,899.28
  6. Step 6: Final answer
    x = 1,466.37

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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.