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Finding the Fourth Proportional to 4,713.34, 7,072.05 and 1,792.48

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Solution

The fourth proportional to 4,713.34, 7,072.05 and 1,792.48 is: 2,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.34 : 7,072.05 = 1,792.48 : x
  2. Step 2: Convert to fraction form
    4,713.34/7,072.05 = 1,792.48/x
  3. Step 3: Cross multiply
    4,713.34x = 7,072.05 × 1,792.48
  4. Step 4: Simplify right side
    4,713.34x = 12,676,508.18
  5. Step 5: Solve for x
    x = 12,676,508.18/4,713.34
  6. Step 6: Final answer
    x = 2,689.50

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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.