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Finding the Fourth Proportional to 4,127.76, 5,696.46 and 2,264.76

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Solution

The fourth proportional to 4,127.76, 5,696.46 and 2,264.76 is: 3,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.76 : 5,696.46 = 2,264.76 : x
  2. Step 2: Convert to fraction form
    4,127.76/5,696.46 = 2,264.76/x
  3. Step 3: Cross multiply
    4,127.76x = 5,696.46 × 2,264.76
  4. Step 4: Simplify right side
    4,127.76x = 12,901,114.75
  5. Step 5: Solve for x
    x = 12,901,114.75/4,127.76
  6. Step 6: Final answer
    x = 3,125.45

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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.