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Finding the Fourth Proportional to 3,156, 4,734.24 and 1,104

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Solution

The fourth proportional to 3,156, 4,734.24 and 1,104 is: 1,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156 : 4,734.24 = 1,104 : x
  2. Step 2: Convert to fraction form
    3,156/4,734.24 = 1,104/x
  3. Step 3: Cross multiply
    3,156x = 4,734.24 × 1,104
  4. Step 4: Simplify right side
    3,156x = 5,226,600.96
  5. Step 5: Solve for x
    x = 5,226,600.96/3,156
  6. Step 6: Final answer
    x = 1,656.08

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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.