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Finding the Fourth Proportional to 3,595.14, 5,367.39 and 3,075.33

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Solution

The fourth proportional to 3,595.14, 5,367.39 and 3,075.33 is: 4,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.14 : 5,367.39 = 3,075.33 : x
  2. Step 2: Convert to fraction form
    3,595.14/5,367.39 = 3,075.33/x
  3. Step 3: Cross multiply
    3,595.14x = 5,367.39 × 3,075.33
  4. Step 4: Simplify right side
    3,595.14x = 16,506,495.49
  5. Step 5: Solve for x
    x = 16,506,495.49/3,595.14
  6. Step 6: Final answer
    x = 4,591.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.