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Finding the Fourth Proportional to 4,103.96, 6,158.64 and 1,506.92

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Solution

The fourth proportional to 4,103.96, 6,158.64 and 1,506.92 is: 2,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.96 : 6,158.64 = 1,506.92 : x
  2. Step 2: Convert to fraction form
    4,103.96/6,158.64 = 1,506.92/x
  3. Step 3: Cross multiply
    4,103.96x = 6,158.64 × 1,506.92
  4. Step 4: Simplify right side
    4,103.96x = 9,280,577.79
  5. Step 5: Solve for x
    x = 9,280,577.79/4,103.96
  6. Step 6: Final answer
    x = 2,261.37

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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.