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Finding the Fourth Proportional to 5,325.77, 7,983.99 and 2,203.80

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Solution

The fourth proportional to 5,325.77, 7,983.99 and 2,203.80 is: 3,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.77 : 7,983.99 = 2,203.80 : x
  2. Step 2: Convert to fraction form
    5,325.77/7,983.99 = 2,203.80/x
  3. Step 3: Cross multiply
    5,325.77x = 7,983.99 × 2,203.80
  4. Step 4: Simplify right side
    5,325.77x = 17,595,117.16
  5. Step 5: Solve for x
    x = 17,595,117.16/5,325.77
  6. Step 6: Final answer
    x = 3,303.77

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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.