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Finding the Fourth Proportional to 4,078.60, 6,117.90 and 3,835.60

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Solution

The fourth proportional to 4,078.60, 6,117.90 and 3,835.60 is: 5,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.60 : 6,117.90 = 3,835.60 : x
  2. Step 2: Convert to fraction form
    4,078.60/6,117.90 = 3,835.60/x
  3. Step 3: Cross multiply
    4,078.60x = 6,117.90 × 3,835.60
  4. Step 4: Simplify right side
    4,078.60x = 23,465,817.24
  5. Step 5: Solve for x
    x = 23,465,817.24/4,078.60
  6. Step 6: Final answer
    x = 5,753.40

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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.