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Finding the Fourth Proportional to 4,308.35, 6,457.74 and 2,228.46

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Solution

The fourth proportional to 4,308.35, 6,457.74 and 2,228.46 is: 3,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.35 : 6,457.74 = 2,228.46 : x
  2. Step 2: Convert to fraction form
    4,308.35/6,457.74 = 2,228.46/x
  3. Step 3: Cross multiply
    4,308.35x = 6,457.74 × 2,228.46
  4. Step 4: Simplify right side
    4,308.35x = 14,390,815.28
  5. Step 5: Solve for x
    x = 14,390,815.28/4,308.35
  6. Step 6: Final answer
    x = 3,340.22

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