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Finding the Fourth Proportional to 3,415.36, 4,713.78 and 2,523.74

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Solution

The fourth proportional to 3,415.36, 4,713.78 and 2,523.74 is: 3,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.36 : 4,713.78 = 2,523.74 : x
  2. Step 2: Convert to fraction form
    3,415.36/4,713.78 = 2,523.74/x
  3. Step 3: Cross multiply
    3,415.36x = 4,713.78 × 2,523.74
  4. Step 4: Simplify right side
    3,415.36x = 11,896,355.14
  5. Step 5: Solve for x
    x = 11,896,355.14/3,415.36
  6. Step 6: Final answer
    x = 3,483.19

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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.