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Finding the Fourth Proportional to 4,298.64, 5,932.24 and 3,041.92

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Solution

The fourth proportional to 4,298.64, 5,932.24 and 3,041.92 is: 4,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.64 : 5,932.24 = 3,041.92 : x
  2. Step 2: Convert to fraction form
    4,298.64/5,932.24 = 3,041.92/x
  3. Step 3: Cross multiply
    4,298.64x = 5,932.24 × 3,041.92
  4. Step 4: Simplify right side
    4,298.64x = 18,045,399.50
  5. Step 5: Solve for x
    x = 18,045,399.50/4,298.64
  6. Step 6: Final answer
    x = 4,197.93

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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.