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Finding the Fourth Proportional to 3,907.74, 5,868.33 and 3,877.50

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Solution

The fourth proportional to 3,907.74, 5,868.33 and 3,877.50 is: 5,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.74 : 5,868.33 = 3,877.50 : x
  2. Step 2: Convert to fraction form
    3,907.74/5,868.33 = 3,877.50/x
  3. Step 3: Cross multiply
    3,907.74x = 5,868.33 × 3,877.50
  4. Step 4: Simplify right side
    3,907.74x = 22,754,449.58
  5. Step 5: Solve for x
    x = 22,754,449.58/3,907.74
  6. Step 6: Final answer
    x = 5,822.92

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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.