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Finding the Fourth Proportional to 5,383.50, 8,075.25 and 1,434.77

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Solution

The fourth proportional to 5,383.50, 8,075.25 and 1,434.77 is: 2,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.50 : 8,075.25 = 1,434.77 : x
  2. Step 2: Convert to fraction form
    5,383.50/8,075.25 = 1,434.77/x
  3. Step 3: Cross multiply
    5,383.50x = 8,075.25 × 1,434.77
  4. Step 4: Simplify right side
    5,383.50x = 11,586,086.07
  5. Step 5: Solve for x
    x = 11,586,086.07/5,383.50
  6. Step 6: Final answer
    x = 2,152.15

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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.