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Finding the Fourth Proportional to 4,347.84, 6,517.92 and 2,619.84

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Solution

The fourth proportional to 4,347.84, 6,517.92 and 2,619.84 is: 3,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.84 : 6,517.92 = 2,619.84 : x
  2. Step 2: Convert to fraction form
    4,347.84/6,517.92 = 2,619.84/x
  3. Step 3: Cross multiply
    4,347.84x = 6,517.92 × 2,619.84
  4. Step 4: Simplify right side
    4,347.84x = 17,075,907.53
  5. Step 5: Solve for x
    x = 17,075,907.53/4,347.84
  6. Step 6: Final answer
    x = 3,927.45

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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.