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Finding the Fourth Proportional to 4,098.84, 6,145.06 and 1,907.28

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Solution

The fourth proportional to 4,098.84, 6,145.06 and 1,907.28 is: 2,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.84 : 6,145.06 = 1,907.28 : x
  2. Step 2: Convert to fraction form
    4,098.84/6,145.06 = 1,907.28/x
  3. Step 3: Cross multiply
    4,098.84x = 6,145.06 × 1,907.28
  4. Step 4: Simplify right side
    4,098.84x = 11,720,350.04
  5. Step 5: Solve for x
    x = 11,720,350.04/4,098.84
  6. Step 6: Final answer
    x = 2,859.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.