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Finding the Fourth Proportional to 4,811.76, 7,206.48 and 3,510

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Solution

The fourth proportional to 4,811.76, 7,206.48 and 3,510 is: 5,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.76 : 7,206.48 = 3,510 : x
  2. Step 2: Convert to fraction form
    4,811.76/7,206.48 = 3,510/x
  3. Step 3: Cross multiply
    4,811.76x = 7,206.48 × 3,510
  4. Step 4: Simplify right side
    4,811.76x = 25,294,744.80
  5. Step 5: Solve for x
    x = 25,294,744.80/4,811.76
  6. Step 6: Final answer
    x = 5,256.86

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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.