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Finding the Fourth Proportional to 3,497, 5,244.38 and 1,156.46

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Solution

The fourth proportional to 3,497, 5,244.38 and 1,156.46 is: 1,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497 : 5,244.38 = 1,156.46 : x
  2. Step 2: Convert to fraction form
    3,497/5,244.38 = 1,156.46/x
  3. Step 3: Cross multiply
    3,497x = 5,244.38 × 1,156.46
  4. Step 4: Simplify right side
    3,497x = 6,064,915.69
  5. Step 5: Solve for x
    x = 6,064,915.69/3,497
  6. Step 6: Final answer
    x = 1,734.32

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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.