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Finding the Fourth Proportional to 4,907.50, 7,364.49 and 1,829.50

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Solution

The fourth proportional to 4,907.50, 7,364.49 and 1,829.50 is: 2,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.50 : 7,364.49 = 1,829.50 : x
  2. Step 2: Convert to fraction form
    4,907.50/7,364.49 = 1,829.50/x
  3. Step 3: Cross multiply
    4,907.50x = 7,364.49 × 1,829.50
  4. Step 4: Simplify right side
    4,907.50x = 13,473,334.46
  5. Step 5: Solve for x
    x = 13,473,334.46/4,907.50
  6. Step 6: Final answer
    x = 2,745.46

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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.