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Finding the Fourth Proportional to 4,152.16, 6,228.16 and 2,419.52

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Solution

The fourth proportional to 4,152.16, 6,228.16 and 2,419.52 is: 3,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.16 : 6,228.16 = 2,419.52 : x
  2. Step 2: Convert to fraction form
    4,152.16/6,228.16 = 2,419.52/x
  3. Step 3: Cross multiply
    4,152.16x = 6,228.16 × 2,419.52
  4. Step 4: Simplify right side
    4,152.16x = 15,069,157.68
  5. Step 5: Solve for x
    x = 15,069,157.68/4,152.16
  6. Step 6: Final answer
    x = 3,629.23

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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.