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Finding the Fourth Proportional to 4,907.61, 7,358.58 and 1,982.43

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Solution

The fourth proportional to 4,907.61, 7,358.58 and 1,982.43 is: 2,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.61 : 7,358.58 = 1,982.43 : x
  2. Step 2: Convert to fraction form
    4,907.61/7,358.58 = 1,982.43/x
  3. Step 3: Cross multiply
    4,907.61x = 7,358.58 × 1,982.43
  4. Step 4: Simplify right side
    4,907.61x = 14,587,869.75
  5. Step 5: Solve for x
    x = 14,587,869.75/4,907.61
  6. Step 6: Final answer
    x = 2,972.50

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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.