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Finding the Fourth Proportional to 4,957.37, 7,437.68 and 3,865.49

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Solution

The fourth proportional to 4,957.37, 7,437.68 and 3,865.49 is: 5,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.37 : 7,437.68 = 3,865.49 : x
  2. Step 2: Convert to fraction form
    4,957.37/7,437.68 = 3,865.49/x
  3. Step 3: Cross multiply
    4,957.37x = 7,437.68 × 3,865.49
  4. Step 4: Simplify right side
    4,957.37x = 28,750,258.34
  5. Step 5: Solve for x
    x = 28,750,258.34/4,957.37
  6. Step 6: Final answer
    x = 5,799.50

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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.