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Finding the Fourth Proportional to 4,864.53, 6,708.69 and 4,117.71

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Solution

The fourth proportional to 4,864.53, 6,708.69 and 4,117.71 is: 5,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.53 : 6,708.69 = 4,117.71 : x
  2. Step 2: Convert to fraction form
    4,864.53/6,708.69 = 4,117.71/x
  3. Step 3: Cross multiply
    4,864.53x = 6,708.69 × 4,117.71
  4. Step 4: Simplify right side
    4,864.53x = 27,624,439.90
  5. Step 5: Solve for x
    x = 27,624,439.90/4,864.53
  6. Step 6: Final answer
    x = 5,678.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.