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Finding the Fourth Proportional to 4,662.60, 6,984.18 and 2,925.96

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Solution

The fourth proportional to 4,662.60, 6,984.18 and 2,925.96 is: 4,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.60 : 6,984.18 = 2,925.96 : x
  2. Step 2: Convert to fraction form
    4,662.60/6,984.18 = 2,925.96/x
  3. Step 3: Cross multiply
    4,662.60x = 6,984.18 × 2,925.96
  4. Step 4: Simplify right side
    4,662.60x = 20,435,431.31
  5. Step 5: Solve for x
    x = 20,435,431.31/4,662.60
  6. Step 6: Final answer
    x = 4,382.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.