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Finding the Fourth Proportional to 4,704.32, 7,056.88 and 4,640.34

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Solution

The fourth proportional to 4,704.32, 7,056.88 and 4,640.34 is: 6,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.32 : 7,056.88 = 4,640.34 : x
  2. Step 2: Convert to fraction form
    4,704.32/7,056.88 = 4,640.34/x
  3. Step 3: Cross multiply
    4,704.32x = 7,056.88 × 4,640.34
  4. Step 4: Simplify right side
    4,704.32x = 32,746,322.54
  5. Step 5: Solve for x
    x = 32,746,322.54/4,704.32
  6. Step 6: Final answer
    x = 6,960.90

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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.