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Finding the Fourth Proportional to 4,768.04, 7,152.60 and 2,302.40

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Solution

The fourth proportional to 4,768.04, 7,152.60 and 2,302.40 is: 3,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.04 : 7,152.60 = 2,302.40 : x
  2. Step 2: Convert to fraction form
    4,768.04/7,152.60 = 2,302.40/x
  3. Step 3: Cross multiply
    4,768.04x = 7,152.60 × 2,302.40
  4. Step 4: Simplify right side
    4,768.04x = 16,468,146.24
  5. Step 5: Solve for x
    x = 16,468,146.24/4,768.04
  6. Step 6: Final answer
    x = 3,453.86

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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.