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Finding the Fourth Proportional to 5,581.24, 7,700.47 and 3,458.33

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Solution

The fourth proportional to 5,581.24, 7,700.47 and 3,458.33 is: 4,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.24 : 7,700.47 = 3,458.33 : x
  2. Step 2: Convert to fraction form
    5,581.24/7,700.47 = 3,458.33/x
  3. Step 3: Cross multiply
    5,581.24x = 7,700.47 × 3,458.33
  4. Step 4: Simplify right side
    5,581.24x = 26,630,748.14
  5. Step 5: Solve for x
    x = 26,630,748.14/5,581.24
  6. Step 6: Final answer
    x = 4,771.48

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