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Finding the Fourth Proportional to 5,056.88, 7,580.42 and 1,934.48

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Solution

The fourth proportional to 5,056.88, 7,580.42 and 1,934.48 is: 2,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.88 : 7,580.42 = 1,934.48 : x
  2. Step 2: Convert to fraction form
    5,056.88/7,580.42 = 1,934.48/x
  3. Step 3: Cross multiply
    5,056.88x = 7,580.42 × 1,934.48
  4. Step 4: Simplify right side
    5,056.88x = 14,664,195.58
  5. Step 5: Solve for x
    x = 14,664,195.58/5,056.88
  6. Step 6: Final answer
    x = 2,899.85

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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.