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Finding the Fourth Proportional to 4,929.50, 6,802.71 and 2,721.50

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Solution

The fourth proportional to 4,929.50, 6,802.71 and 2,721.50 is: 3,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.50 : 6,802.71 = 2,721.50 : x
  2. Step 2: Convert to fraction form
    4,929.50/6,802.71 = 2,721.50/x
  3. Step 3: Cross multiply
    4,929.50x = 6,802.71 × 2,721.50
  4. Step 4: Simplify right side
    4,929.50x = 18,513,575.27
  5. Step 5: Solve for x
    x = 18,513,575.27/4,929.50
  6. Step 6: Final answer
    x = 3,755.67

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Why These Related Problems?

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