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Finding the Fourth Proportional to 4,985.74, 7,480.50 and 1,523.26

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Solution

The fourth proportional to 4,985.74, 7,480.50 and 1,523.26 is: 2,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.74 : 7,480.50 = 1,523.26 : x
  2. Step 2: Convert to fraction form
    4,985.74/7,480.50 = 1,523.26/x
  3. Step 3: Cross multiply
    4,985.74x = 7,480.50 × 1,523.26
  4. Step 4: Simplify right side
    4,985.74x = 11,394,746.43
  5. Step 5: Solve for x
    x = 11,394,746.43/4,985.74
  6. Step 6: Final answer
    x = 2,285.47

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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.