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Finding the Fourth Proportional to 3,518.68, 5,267.50 and 2,127.81

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Solution

The fourth proportional to 3,518.68, 5,267.50 and 2,127.81 is: 3,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.68 : 5,267.50 = 2,127.81 : x
  2. Step 2: Convert to fraction form
    3,518.68/5,267.50 = 2,127.81/x
  3. Step 3: Cross multiply
    3,518.68x = 5,267.50 × 2,127.81
  4. Step 4: Simplify right side
    3,518.68x = 11,208,239.18
  5. Step 5: Solve for x
    x = 11,208,239.18/3,518.68
  6. Step 6: Final answer
    x = 3,185.35

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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.