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Finding the Fourth Proportional to 5,575.04, 7,693.64 and 3,057.39

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Solution

The fourth proportional to 5,575.04, 7,693.64 and 3,057.39 is: 4,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.04 : 7,693.64 = 3,057.39 : x
  2. Step 2: Convert to fraction form
    5,575.04/7,693.64 = 3,057.39/x
  3. Step 3: Cross multiply
    5,575.04x = 7,693.64 × 3,057.39
  4. Step 4: Simplify right side
    5,575.04x = 23,522,465.64
  5. Step 5: Solve for x
    x = 23,522,465.64/5,575.04
  6. Step 6: Final answer
    x = 4,219.25

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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.