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Finding the Fourth Proportional to 5,297.58, 7,946.34 and 1,401.84

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Solution

The fourth proportional to 5,297.58, 7,946.34 and 1,401.84 is: 2,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.58 : 7,946.34 = 1,401.84 : x
  2. Step 2: Convert to fraction form
    5,297.58/7,946.34 = 1,401.84/x
  3. Step 3: Cross multiply
    5,297.58x = 7,946.34 × 1,401.84
  4. Step 4: Simplify right side
    5,297.58x = 11,139,497.27
  5. Step 5: Solve for x
    x = 11,139,497.27/5,297.58
  6. Step 6: Final answer
    x = 2,102.75

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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.