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Finding the Fourth Proportional to 3,796.47, 5,237.51 and 2,303.87

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Solution

The fourth proportional to 3,796.47, 5,237.51 and 2,303.87 is: 3,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.47 : 5,237.51 = 2,303.87 : x
  2. Step 2: Convert to fraction form
    3,796.47/5,237.51 = 2,303.87/x
  3. Step 3: Cross multiply
    3,796.47x = 5,237.51 × 2,303.87
  4. Step 4: Simplify right side
    3,796.47x = 12,066,504.46
  5. Step 5: Solve for x
    x = 12,066,504.46/3,796.47
  6. Step 6: Final answer
    x = 3,178.35

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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.