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Finding the Fourth Proportional to 5,090.90, 7,024.22 and 3,411.70

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Solution

The fourth proportional to 5,090.90, 7,024.22 and 3,411.70 is: 4,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.90 : 7,024.22 = 3,411.70 : x
  2. Step 2: Convert to fraction form
    5,090.90/7,024.22 = 3,411.70/x
  3. Step 3: Cross multiply
    5,090.90x = 7,024.22 × 3,411.70
  4. Step 4: Simplify right side
    5,090.90x = 23,964,479.19
  5. Step 5: Solve for x
    x = 23,964,479.19/5,090.90
  6. Step 6: Final answer
    x = 4,707.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.