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Finding the Fourth Proportional to 4,768.96, 7,152.40 and 2,426.48

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Solution

The fourth proportional to 4,768.96, 7,152.40 and 2,426.48 is: 3,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.96 : 7,152.40 = 2,426.48 : x
  2. Step 2: Convert to fraction form
    4,768.96/7,152.40 = 2,426.48/x
  3. Step 3: Cross multiply
    4,768.96x = 7,152.40 × 2,426.48
  4. Step 4: Simplify right side
    4,768.96x = 17,355,155.55
  5. Step 5: Solve for x
    x = 17,355,155.55/4,768.96
  6. Step 6: Final answer
    x = 3,639.19

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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.