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Finding the Fourth Proportional to 4,568.40, 6,858.72 and 4,420.80

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Solution

The fourth proportional to 4,568.40, 6,858.72 and 4,420.80 is: 6,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.40 : 6,858.72 = 4,420.80 : x
  2. Step 2: Convert to fraction form
    4,568.40/6,858.72 = 4,420.80/x
  3. Step 3: Cross multiply
    4,568.40x = 6,858.72 × 4,420.80
  4. Step 4: Simplify right side
    4,568.40x = 30,321,029.38
  5. Step 5: Solve for x
    x = 30,321,029.38/4,568.40
  6. Step 6: Final answer
    x = 6,637.12

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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.