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Finding the Fourth Proportional to 4,637.91, 6,957.74 and 1,864.79

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Solution

The fourth proportional to 4,637.91, 6,957.74 and 1,864.79 is: 2,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.91 : 6,957.74 = 1,864.79 : x
  2. Step 2: Convert to fraction form
    4,637.91/6,957.74 = 1,864.79/x
  3. Step 3: Cross multiply
    4,637.91x = 6,957.74 × 1,864.79
  4. Step 4: Simplify right side
    4,637.91x = 12,974,732.04
  5. Step 5: Solve for x
    x = 12,974,732.04/4,637.91
  6. Step 6: Final answer
    x = 2,797.54

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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.