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Finding the Fourth Proportional to 4,257.96, 5,876.10 and 2,395.40

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Solution

The fourth proportional to 4,257.96, 5,876.10 and 2,395.40 is: 3,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.96 : 5,876.10 = 2,395.40 : x
  2. Step 2: Convert to fraction form
    4,257.96/5,876.10 = 2,395.40/x
  3. Step 3: Cross multiply
    4,257.96x = 5,876.10 × 2,395.40
  4. Step 4: Simplify right side
    4,257.96x = 14,075,609.94
  5. Step 5: Solve for x
    x = 14,075,609.94/4,257.96
  6. Step 6: Final answer
    x = 3,305.72

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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.