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Finding the Fourth Proportional to 4,228.32, 5,837.04 and 2,459.28

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Solution

The fourth proportional to 4,228.32, 5,837.04 and 2,459.28 is: 3,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.32 : 5,837.04 = 2,459.28 : x
  2. Step 2: Convert to fraction form
    4,228.32/5,837.04 = 2,459.28/x
  3. Step 3: Cross multiply
    4,228.32x = 5,837.04 × 2,459.28
  4. Step 4: Simplify right side
    4,228.32x = 14,354,915.73
  5. Step 5: Solve for x
    x = 14,354,915.73/4,228.32
  6. Step 6: Final answer
    x = 3,394.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.