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Finding the Fourth Proportional to 3,298.58, 4,546.93 and 2,458

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Solution

The fourth proportional to 3,298.58, 4,546.93 and 2,458 is: 3,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.58 : 4,546.93 = 2,458 : x
  2. Step 2: Convert to fraction form
    3,298.58/4,546.93 = 2,458/x
  3. Step 3: Cross multiply
    3,298.58x = 4,546.93 × 2,458
  4. Step 4: Simplify right side
    3,298.58x = 11,176,353.94
  5. Step 5: Solve for x
    x = 11,176,353.94/3,298.58
  6. Step 6: Final answer
    x = 3,388.23

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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.