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Finding the Fourth Proportional to 4,298.32, 6,438.84 and 2,242

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Solution

The fourth proportional to 4,298.32, 6,438.84 and 2,242 is: 3,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.32 : 6,438.84 = 2,242 : x
  2. Step 2: Convert to fraction form
    4,298.32/6,438.84 = 2,242/x
  3. Step 3: Cross multiply
    4,298.32x = 6,438.84 × 2,242
  4. Step 4: Simplify right side
    4,298.32x = 14,435,879.28
  5. Step 5: Solve for x
    x = 14,435,879.28/4,298.32
  6. Step 6: Final answer
    x = 3,358.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.