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Finding the Fourth Proportional to 4,298.68, 6,419.27 and 3,675.88

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Solution

The fourth proportional to 4,298.68, 6,419.27 and 3,675.88 is: 5,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.68 : 6,419.27 = 3,675.88 : x
  2. Step 2: Convert to fraction form
    4,298.68/6,419.27 = 3,675.88/x
  3. Step 3: Cross multiply
    4,298.68x = 6,419.27 × 3,675.88
  4. Step 4: Simplify right side
    4,298.68x = 23,596,466.21
  5. Step 5: Solve for x
    x = 23,596,466.21/4,298.68
  6. Step 6: Final answer
    x = 5,489.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.