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Finding the Fourth Proportional to 3,712.36, 5,122.02 and 2,316.52

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Solution

The fourth proportional to 3,712.36, 5,122.02 and 2,316.52 is: 3,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.36 : 5,122.02 = 2,316.52 : x
  2. Step 2: Convert to fraction form
    3,712.36/5,122.02 = 2,316.52/x
  3. Step 3: Cross multiply
    3,712.36x = 5,122.02 × 2,316.52
  4. Step 4: Simplify right side
    3,712.36x = 11,865,261.77
  5. Step 5: Solve for x
    x = 11,865,261.77/3,712.36
  6. Step 6: Final answer
    x = 3,196.15

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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.