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Finding the Fourth Proportional to 5,970.30, 8,239.87 and 3,580.39

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Solution

The fourth proportional to 5,970.30, 8,239.87 and 3,580.39 is: 4,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.30 : 8,239.87 = 3,580.39 : x
  2. Step 2: Convert to fraction form
    5,970.30/8,239.87 = 3,580.39/x
  3. Step 3: Cross multiply
    5,970.30x = 8,239.87 × 3,580.39
  4. Step 4: Simplify right side
    5,970.30x = 29,501,948.15
  5. Step 5: Solve for x
    x = 29,501,948.15/5,970.30
  6. Step 6: Final answer
    x = 4,941.45

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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.