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Finding the Fourth Proportional to 4,713.84, 7,068 and 1,792.36

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Solution

The fourth proportional to 4,713.84, 7,068 and 1,792.36 is: 2,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.84 : 7,068 = 1,792.36 : x
  2. Step 2: Convert to fraction form
    4,713.84/7,068 = 1,792.36/x
  3. Step 3: Cross multiply
    4,713.84x = 7,068 × 1,792.36
  4. Step 4: Simplify right side
    4,713.84x = 12,668,400.48
  5. Step 5: Solve for x
    x = 12,668,400.48/4,713.84
  6. Step 6: Final answer
    x = 2,687.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.