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Finding the Fourth Proportional to 4,735.60, 7,098 and 1,812.64

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Solution

The fourth proportional to 4,735.60, 7,098 and 1,812.64 is: 2,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.60 : 7,098 = 1,812.64 : x
  2. Step 2: Convert to fraction form
    4,735.60/7,098 = 1,812.64/x
  3. Step 3: Cross multiply
    4,735.60x = 7,098 × 1,812.64
  4. Step 4: Simplify right side
    4,735.60x = 12,866,118.72
  5. Step 5: Solve for x
    x = 12,866,118.72/4,735.60
  6. Step 6: Final answer
    x = 2,716.89

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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.