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Finding the Fourth Proportional to 3,432.96, 4,736.70 and 2,088.54

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Solution

The fourth proportional to 3,432.96, 4,736.70 and 2,088.54 is: 2,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.96 : 4,736.70 = 2,088.54 : x
  2. Step 2: Convert to fraction form
    3,432.96/4,736.70 = 2,088.54/x
  3. Step 3: Cross multiply
    3,432.96x = 4,736.70 × 2,088.54
  4. Step 4: Simplify right side
    3,432.96x = 9,892,787.42
  5. Step 5: Solve for x
    x = 9,892,787.42/3,432.96
  6. Step 6: Final answer
    x = 2,881.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.