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Finding the Fourth Proportional to 3,878.70, 5,818.44 and 2,417.46

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Solution

The fourth proportional to 3,878.70, 5,818.44 and 2,417.46 is: 3,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.70 : 5,818.44 = 2,417.46 : x
  2. Step 2: Convert to fraction form
    3,878.70/5,818.44 = 2,417.46/x
  3. Step 3: Cross multiply
    3,878.70x = 5,818.44 × 2,417.46
  4. Step 4: Simplify right side
    3,878.70x = 14,065,840.48
  5. Step 5: Solve for x
    x = 14,065,840.48/3,878.70
  6. Step 6: Final answer
    x = 3,626.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.