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Finding the Fourth Proportional to 5,575, 7,693.29 and 3,057.05

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Solution

The fourth proportional to 5,575, 7,693.29 and 3,057.05 is: 4,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575 : 7,693.29 = 3,057.05 : x
  2. Step 2: Convert to fraction form
    5,575/7,693.29 = 3,057.05/x
  3. Step 3: Cross multiply
    5,575x = 7,693.29 × 3,057.05
  4. Step 4: Simplify right side
    5,575x = 23,518,772.19
  5. Step 5: Solve for x
    x = 23,518,772.19/5,575
  6. Step 6: Final answer
    x = 4,218.61

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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.