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Finding the Fourth Proportional to 3,803.82, 5,702.75 and 2,555.68

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Solution

The fourth proportional to 3,803.82, 5,702.75 and 2,555.68 is: 3,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.82 : 5,702.75 = 2,555.68 : x
  2. Step 2: Convert to fraction form
    3,803.82/5,702.75 = 2,555.68/x
  3. Step 3: Cross multiply
    3,803.82x = 5,702.75 × 2,555.68
  4. Step 4: Simplify right side
    3,803.82x = 14,574,391.34
  5. Step 5: Solve for x
    x = 14,574,391.34/3,803.82
  6. Step 6: Final answer
    x = 3,831.51

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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.