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Finding the Fourth Proportional to 4,235.64, 5,845.20 and 2,468.46

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Solution

The fourth proportional to 4,235.64, 5,845.20 and 2,468.46 is: 3,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.64 : 5,845.20 = 2,468.46 : x
  2. Step 2: Convert to fraction form
    4,235.64/5,845.20 = 2,468.46/x
  3. Step 3: Cross multiply
    4,235.64x = 5,845.20 × 2,468.46
  4. Step 4: Simplify right side
    4,235.64x = 14,428,642.39
  5. Step 5: Solve for x
    x = 14,428,642.39/4,235.64
  6. Step 6: Final answer
    x = 3,406.48

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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.