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Finding the Fourth Proportional to 3,835.76, 5,292.96 and 2,264.48

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Solution

The fourth proportional to 3,835.76, 5,292.96 and 2,264.48 is: 3,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.76 : 5,292.96 = 2,264.48 : x
  2. Step 2: Convert to fraction form
    3,835.76/5,292.96 = 2,264.48/x
  3. Step 3: Cross multiply
    3,835.76x = 5,292.96 × 2,264.48
  4. Step 4: Simplify right side
    3,835.76x = 11,985,802.06
  5. Step 5: Solve for x
    x = 11,985,802.06/3,835.76
  6. Step 6: Final answer
    x = 3,124.75

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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.