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Finding the Fourth Proportional to 4,298.96, 5,932.84 and 2,410.68

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Solution

The fourth proportional to 4,298.96, 5,932.84 and 2,410.68 is: 3,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.96 : 5,932.84 = 2,410.68 : x
  2. Step 2: Convert to fraction form
    4,298.96/5,932.84 = 2,410.68/x
  3. Step 3: Cross multiply
    4,298.96x = 5,932.84 × 2,410.68
  4. Step 4: Simplify right side
    4,298.96x = 14,302,178.73
  5. Step 5: Solve for x
    x = 14,302,178.73/4,298.96
  6. Step 6: Final answer
    x = 3,326.89

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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.