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Finding the Fourth Proportional to 3,071.57, 4,237.70 and 1,876.23

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Solution

The fourth proportional to 3,071.57, 4,237.70 and 1,876.23 is: 2,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.57 : 4,237.70 = 1,876.23 : x
  2. Step 2: Convert to fraction form
    3,071.57/4,237.70 = 1,876.23/x
  3. Step 3: Cross multiply
    3,071.57x = 4,237.70 × 1,876.23
  4. Step 4: Simplify right side
    3,071.57x = 7,950,890.49
  5. Step 5: Solve for x
    x = 7,950,890.49/3,071.57
  6. Step 6: Final answer
    x = 2,588.55

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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.