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Finding the Fourth Proportional to 3,922.28, 5,415.06 and 2,506.76

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Solution

The fourth proportional to 3,922.28, 5,415.06 and 2,506.76 is: 3,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.28 : 5,415.06 = 2,506.76 : x
  2. Step 2: Convert to fraction form
    3,922.28/5,415.06 = 2,506.76/x
  3. Step 3: Cross multiply
    3,922.28x = 5,415.06 × 2,506.76
  4. Step 4: Simplify right side
    3,922.28x = 13,574,255.81
  5. Step 5: Solve for x
    x = 13,574,255.81/3,922.28
  6. Step 6: Final answer
    x = 3,460.81

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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.