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Finding the Fourth Proportional to 3,537.40, 5,306.46 and 940.60

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Solution

The fourth proportional to 3,537.40, 5,306.46 and 940.60 is: 1,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.40 : 5,306.46 = 940.60 : x
  2. Step 2: Convert to fraction form
    3,537.40/5,306.46 = 940.60/x
  3. Step 3: Cross multiply
    3,537.40x = 5,306.46 × 940.60
  4. Step 4: Simplify right side
    3,537.40x = 4,991,256.28
  5. Step 5: Solve for x
    x = 4,991,256.28/3,537.40
  6. Step 6: Final answer
    x = 1,411.00

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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.