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Finding the Fourth Proportional to 4,872.32, 6,678.70 and 4,806.68

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Solution

The fourth proportional to 4,872.32, 6,678.70 and 4,806.68 is: 6,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.32 : 6,678.70 = 4,806.68 : x
  2. Step 2: Convert to fraction form
    4,872.32/6,678.70 = 4,806.68/x
  3. Step 3: Cross multiply
    4,872.32x = 6,678.70 × 4,806.68
  4. Step 4: Simplify right side
    4,872.32x = 32,102,373.72
  5. Step 5: Solve for x
    x = 32,102,373.72/4,872.32
  6. Step 6: Final answer
    x = 6,588.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.