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Finding the Fourth Proportional to 3,907.80, 5,862.14 and 3,907.80

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Solution

The fourth proportional to 3,907.80, 5,862.14 and 3,907.80 is: 5,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.80 : 5,862.14 = 3,907.80 : x
  2. Step 2: Convert to fraction form
    3,907.80/5,862.14 = 3,907.80/x
  3. Step 3: Cross multiply
    3,907.80x = 5,862.14 × 3,907.80
  4. Step 4: Simplify right side
    3,907.80x = 22,908,070.69
  5. Step 5: Solve for x
    x = 22,908,070.69/3,907.80
  6. Step 6: Final answer
    x = 5,862.14

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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.