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Finding the Fourth Proportional to 3,870.63, 5,341.67 and 2,277.36

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Solution

The fourth proportional to 3,870.63, 5,341.67 and 2,277.36 is: 3,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.63 : 5,341.67 = 2,277.36 : x
  2. Step 2: Convert to fraction form
    3,870.63/5,341.67 = 2,277.36/x
  3. Step 3: Cross multiply
    3,870.63x = 5,341.67 × 2,277.36
  4. Step 4: Simplify right side
    3,870.63x = 12,164,905.59
  5. Step 5: Solve for x
    x = 12,164,905.59/3,870.63
  6. Step 6: Final answer
    x = 3,142.87

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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.