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Finding the Fourth Proportional to 4,813.76, 7,209.48 and 3,512

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Solution

The fourth proportional to 4,813.76, 7,209.48 and 3,512 is: 5,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.76 : 7,209.48 = 3,512 : x
  2. Step 2: Convert to fraction form
    4,813.76/7,209.48 = 3,512/x
  3. Step 3: Cross multiply
    4,813.76x = 7,209.48 × 3,512
  4. Step 4: Simplify right side
    4,813.76x = 25,319,693.76
  5. Step 5: Solve for x
    x = 25,319,693.76/4,813.76
  6. Step 6: Final answer
    x = 5,259.86

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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.