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Finding the Fourth Proportional to 3,760.84, 5,633.05 and 1,562.91

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Solution

The fourth proportional to 3,760.84, 5,633.05 and 1,562.91 is: 2,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.84 : 5,633.05 = 1,562.91 : x
  2. Step 2: Convert to fraction form
    3,760.84/5,633.05 = 1,562.91/x
  3. Step 3: Cross multiply
    3,760.84x = 5,633.05 × 1,562.91
  4. Step 4: Simplify right side
    3,760.84x = 8,803,914.20
  5. Step 5: Solve for x
    x = 8,803,914.20/3,760.84
  6. Step 6: Final answer
    x = 2,340.94

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1.5x scale

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.