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Finding the Fourth Proportional to 4,336.16, 5,978.80 and 4,102.60

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Solution

The fourth proportional to 4,336.16, 5,978.80 and 4,102.60 is: 5,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.16 : 5,978.80 = 4,102.60 : x
  2. Step 2: Convert to fraction form
    4,336.16/5,978.80 = 4,102.60/x
  3. Step 3: Cross multiply
    4,336.16x = 5,978.80 × 4,102.60
  4. Step 4: Simplify right side
    4,336.16x = 24,528,624.88
  5. Step 5: Solve for x
    x = 24,528,624.88/4,336.16
  6. Step 6: Final answer
    x = 5,656.76

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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.