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Finding the Fourth Proportional to 5,458.30, 7,532.47 and 3,189.77

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Solution

The fourth proportional to 5,458.30, 7,532.47 and 3,189.77 is: 4,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.30 : 7,532.47 = 3,189.77 : x
  2. Step 2: Convert to fraction form
    5,458.30/7,532.47 = 3,189.77/x
  3. Step 3: Cross multiply
    5,458.30x = 7,532.47 × 3,189.77
  4. Step 4: Simplify right side
    5,458.30x = 24,026,833.26
  5. Step 5: Solve for x
    x = 24,026,833.26/5,458.30
  6. Step 6: Final answer
    x = 4,401.89

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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.