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Finding the Fourth Proportional to 5,938.36, 8,907.52 and 5,577.50

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Solution

The fourth proportional to 5,938.36, 8,907.52 and 5,577.50 is: 8,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.36 : 8,907.52 = 5,577.50 : x
  2. Step 2: Convert to fraction form
    5,938.36/8,907.52 = 5,577.50/x
  3. Step 3: Cross multiply
    5,938.36x = 8,907.52 × 5,577.50
  4. Step 4: Simplify right side
    5,938.36x = 49,681,692.80
  5. Step 5: Solve for x
    x = 49,681,692.80/5,938.36
  6. Step 6: Final answer
    x = 8,366.23

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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.