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Finding the Fourth Proportional to 4,813.49, 7,221.14 and 1,525.70

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Solution

The fourth proportional to 4,813.49, 7,221.14 and 1,525.70 is: 2,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.49 : 7,221.14 = 1,525.70 : x
  2. Step 2: Convert to fraction form
    4,813.49/7,221.14 = 1,525.70/x
  3. Step 3: Cross multiply
    4,813.49x = 7,221.14 × 1,525.70
  4. Step 4: Simplify right side
    4,813.49x = 11,017,285.67
  5. Step 5: Solve for x
    x = 11,017,285.67/4,813.49
  6. Step 6: Final answer
    x = 2,288.84

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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.