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Finding the Fourth Proportional to 6,459.36, 8,915.52 and 4,217.40

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Solution

The fourth proportional to 6,459.36, 8,915.52 and 4,217.40 is: 5,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.36 : 8,915.52 = 4,217.40 : x
  2. Step 2: Convert to fraction form
    6,459.36/8,915.52 = 4,217.40/x
  3. Step 3: Cross multiply
    6,459.36x = 8,915.52 × 4,217.40
  4. Step 4: Simplify right side
    6,459.36x = 37,600,314.05
  5. Step 5: Solve for x
    x = 37,600,314.05/6,459.36
  6. Step 6: Final answer
    x = 5,821.06

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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.