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Finding the Fourth Proportional to 5,203.26, 7,802.64 and 1,504.62

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Solution

The fourth proportional to 5,203.26, 7,802.64 and 1,504.62 is: 2,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.26 : 7,802.64 = 1,504.62 : x
  2. Step 2: Convert to fraction form
    5,203.26/7,802.64 = 1,504.62/x
  3. Step 3: Cross multiply
    5,203.26x = 7,802.64 × 1,504.62
  4. Step 4: Simplify right side
    5,203.26x = 11,740,008.20
  5. Step 5: Solve for x
    x = 11,740,008.20/5,203.26
  6. Step 6: Final answer
    x = 2,256.28

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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.