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Finding the Fourth Proportional to 5,203.04, 7,802.96 and 3,424.03

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Solution

The fourth proportional to 5,203.04, 7,802.96 and 3,424.03 is: 5,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.04 : 7,802.96 = 3,424.03 : x
  2. Step 2: Convert to fraction form
    5,203.04/7,802.96 = 3,424.03/x
  3. Step 3: Cross multiply
    5,203.04x = 7,802.96 × 3,424.03
  4. Step 4: Simplify right side
    5,203.04x = 26,717,532.50
  5. Step 5: Solve for x
    x = 26,717,532.50/5,203.04
  6. Step 6: Final answer
    x = 5,134.99

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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.