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Finding the Fourth Proportional to 4,298.40, 6,428.40 and 3,607.20

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Solution

The fourth proportional to 4,298.40, 6,428.40 and 3,607.20 is: 5,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.40 : 6,428.40 = 3,607.20 : x
  2. Step 2: Convert to fraction form
    4,298.40/6,428.40 = 3,607.20/x
  3. Step 3: Cross multiply
    4,298.40x = 6,428.40 × 3,607.20
  4. Step 4: Simplify right side
    4,298.40x = 23,188,524.48
  5. Step 5: Solve for x
    x = 23,188,524.48/4,298.40
  6. Step 6: Final answer
    x = 5,394.69

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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.