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Finding the Fourth Proportional to 3,762.90, 5,644.38 and 989.40

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Solution

The fourth proportional to 3,762.90, 5,644.38 and 989.40 is: 1,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.90 : 5,644.38 = 989.40 : x
  2. Step 2: Convert to fraction form
    3,762.90/5,644.38 = 989.40/x
  3. Step 3: Cross multiply
    3,762.90x = 5,644.38 × 989.40
  4. Step 4: Simplify right side
    3,762.90x = 5,584,549.57
  5. Step 5: Solve for x
    x = 5,584,549.57/3,762.90
  6. Step 6: Final answer
    x = 1,484.11

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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.