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Finding the Fourth Proportional to 5,323.24, 7,985.82 and 2,245.48

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Solution

The fourth proportional to 5,323.24, 7,985.82 and 2,245.48 is: 3,368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.24 : 7,985.82 = 2,245.48 : x
  2. Step 2: Convert to fraction form
    5,323.24/7,985.82 = 2,245.48/x
  3. Step 3: Cross multiply
    5,323.24x = 7,985.82 × 2,245.48
  4. Step 4: Simplify right side
    5,323.24x = 17,931,999.09
  5. Step 5: Solve for x
    x = 17,931,999.09/5,323.24
  6. Step 6: Final answer
    x = 3,368.62

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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.