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Finding the Fourth Proportional to 3,763.46, 5,644.74 and 990.35

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Solution

The fourth proportional to 3,763.46, 5,644.74 and 990.35 is: 1,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.46 : 5,644.74 = 990.35 : x
  2. Step 2: Convert to fraction form
    3,763.46/5,644.74 = 990.35/x
  3. Step 3: Cross multiply
    3,763.46x = 5,644.74 × 990.35
  4. Step 4: Simplify right side
    3,763.46x = 5,590,240.04
  5. Step 5: Solve for x
    x = 5,590,240.04/3,763.46
  6. Step 6: Final answer
    x = 1,485.40

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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.