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Finding the Fourth Proportional to 5,335.40, 7,984.20 and 4,649.60

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Solution

The fourth proportional to 5,335.40, 7,984.20 and 4,649.60 is: 6,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.40 : 7,984.20 = 4,649.60 : x
  2. Step 2: Convert to fraction form
    5,335.40/7,984.20 = 4,649.60/x
  3. Step 3: Cross multiply
    5,335.40x = 7,984.20 × 4,649.60
  4. Step 4: Simplify right side
    5,335.40x = 37,123,336.32
  5. Step 5: Solve for x
    x = 37,123,336.32/5,335.40
  6. Step 6: Final answer
    x = 6,957.93

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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.