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Finding the Fourth Proportional to 3,795.12, 5,689.44 and 1,485

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Solution

The fourth proportional to 3,795.12, 5,689.44 and 1,485 is: 2,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.12 : 5,689.44 = 1,485 : x
  2. Step 2: Convert to fraction form
    3,795.12/5,689.44 = 1,485/x
  3. Step 3: Cross multiply
    3,795.12x = 5,689.44 × 1,485
  4. Step 4: Simplify right side
    3,795.12x = 8,448,818.40
  5. Step 5: Solve for x
    x = 8,448,818.40/3,795.12
  6. Step 6: Final answer
    x = 2,226.23

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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.