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Finding the Fourth Proportional to 5,223.47, 7,208.54 and 2,865.76

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Solution

The fourth proportional to 5,223.47, 7,208.54 and 2,865.76 is: 3,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.47 : 7,208.54 = 2,865.76 : x
  2. Step 2: Convert to fraction form
    5,223.47/7,208.54 = 2,865.76/x
  3. Step 3: Cross multiply
    5,223.47x = 7,208.54 × 2,865.76
  4. Step 4: Simplify right side
    5,223.47x = 20,657,945.59
  5. Step 5: Solve for x
    x = 20,657,945.59/5,223.47
  6. Step 6: Final answer
    x = 3,954.83

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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.