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Finding the Fourth Proportional to 3,347.60, 5,021.33 and 882.63

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Solution

The fourth proportional to 3,347.60, 5,021.33 and 882.63 is: 1,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.60 : 5,021.33 = 882.63 : x
  2. Step 2: Convert to fraction form
    3,347.60/5,021.33 = 882.63/x
  3. Step 3: Cross multiply
    3,347.60x = 5,021.33 × 882.63
  4. Step 4: Simplify right side
    3,347.60x = 4,431,972.08
  5. Step 5: Solve for x
    x = 4,431,972.08/3,347.60
  6. Step 6: Final answer
    x = 1,323.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.