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Finding the Fourth Proportional to 3,703.81, 5,107.19 and 2,377.01

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Solution

The fourth proportional to 3,703.81, 5,107.19 and 2,377.01 is: 3,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.81 : 5,107.19 = 2,377.01 : x
  2. Step 2: Convert to fraction form
    3,703.81/5,107.19 = 2,377.01/x
  3. Step 3: Cross multiply
    3,703.81x = 5,107.19 × 2,377.01
  4. Step 4: Simplify right side
    3,703.81x = 12,139,829.82
  5. Step 5: Solve for x
    x = 12,139,829.82/3,703.81
  6. Step 6: Final answer
    x = 3,277.66

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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.