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Finding the Fourth Proportional to 5,736.06, 7,915.50 and 3,497.58

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Solution

The fourth proportional to 5,736.06, 7,915.50 and 3,497.58 is: 4,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.06 : 7,915.50 = 3,497.58 : x
  2. Step 2: Convert to fraction form
    5,736.06/7,915.50 = 3,497.58/x
  3. Step 3: Cross multiply
    5,736.06x = 7,915.50 × 3,497.58
  4. Step 4: Simplify right side
    5,736.06x = 27,685,094.49
  5. Step 5: Solve for x
    x = 27,685,094.49/5,736.06
  6. Step 6: Final answer
    x = 4,826.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.