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Finding the Fourth Proportional to 4,160.78, 5,742.80 and 2,835

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Solution

The fourth proportional to 4,160.78, 5,742.80 and 2,835 is: 3,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.78 : 5,742.80 = 2,835 : x
  2. Step 2: Convert to fraction form
    4,160.78/5,742.80 = 2,835/x
  3. Step 3: Cross multiply
    4,160.78x = 5,742.80 × 2,835
  4. Step 4: Simplify right side
    4,160.78x = 16,280,823.83
  5. Step 5: Solve for x
    x = 16,280,823.83/4,160.78
  6. Step 6: Final answer
    x = 3,912.93

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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.