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Finding the Fourth Proportional to 5,200.84, 7,802.34 and 1,738

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Solution

The fourth proportional to 5,200.84, 7,802.34 and 1,738 is: 2,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.84 : 7,802.34 = 1,738 : x
  2. Step 2: Convert to fraction form
    5,200.84/7,802.34 = 1,738/x
  3. Step 3: Cross multiply
    5,200.84x = 7,802.34 × 1,738
  4. Step 4: Simplify right side
    5,200.84x = 13,560,466.92
  5. Step 5: Solve for x
    x = 13,560,466.92/5,200.84
  6. Step 6: Final answer
    x = 2,607.36

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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.