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Finding the Fourth Proportional to 4,972.69, 7,454.40 and 1,683.48

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Solution

The fourth proportional to 4,972.69, 7,454.40 and 1,683.48 is: 2,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.69 : 7,454.40 = 1,683.48 : x
  2. Step 2: Convert to fraction form
    4,972.69/7,454.40 = 1,683.48/x
  3. Step 3: Cross multiply
    4,972.69x = 7,454.40 × 1,683.48
  4. Step 4: Simplify right side
    4,972.69x = 12,549,354.95
  5. Step 5: Solve for x
    x = 12,549,354.95/4,972.69
  6. Step 6: Final answer
    x = 2,523.65

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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.