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Finding the Fourth Proportional to 4,675.84, 6,450.36 and 4,342.40

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Solution

The fourth proportional to 4,675.84, 6,450.36 and 4,342.40 is: 5,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.84 : 6,450.36 = 4,342.40 : x
  2. Step 2: Convert to fraction form
    4,675.84/6,450.36 = 4,342.40/x
  3. Step 3: Cross multiply
    4,675.84x = 6,450.36 × 4,342.40
  4. Step 4: Simplify right side
    4,675.84x = 28,010,043.26
  5. Step 5: Solve for x
    x = 28,010,043.26/4,675.84
  6. Step 6: Final answer
    x = 5,990.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.