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Finding the Fourth Proportional to 4,441.28, 6,615.76 and 4,216.64

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Solution

The fourth proportional to 4,441.28, 6,615.76 and 4,216.64 is: 6,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441.28 : 6,615.76 = 4,216.64 : x
  2. Step 2: Convert to fraction form
    4,441.28/6,615.76 = 4,216.64/x
  3. Step 3: Cross multiply
    4,441.28x = 6,615.76 × 4,216.64
  4. Step 4: Simplify right side
    4,441.28x = 27,896,278.25
  5. Step 5: Solve for x
    x = 27,896,278.25/4,441.28
  6. Step 6: Final answer
    x = 6,281.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.