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Finding the Fourth Proportional to 4,127.45, 5,695.86 and 2,264.45

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Solution

The fourth proportional to 4,127.45, 5,695.86 and 2,264.45 is: 3,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.45 : 5,695.86 = 2,264.45 : x
  2. Step 2: Convert to fraction form
    4,127.45/5,695.86 = 2,264.45/x
  3. Step 3: Cross multiply
    4,127.45x = 5,695.86 × 2,264.45
  4. Step 4: Simplify right side
    4,127.45x = 12,897,961.70
  5. Step 5: Solve for x
    x = 12,897,961.70/4,127.45
  6. Step 6: Final answer
    x = 3,124.93

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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.