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Finding the Fourth Proportional to 3,712.74, 5,124.02 and 2,220.64

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Solution

The fourth proportional to 3,712.74, 5,124.02 and 2,220.64 is: 3,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.74 : 5,124.02 = 2,220.64 : x
  2. Step 2: Convert to fraction form
    3,712.74/5,124.02 = 2,220.64/x
  3. Step 3: Cross multiply
    3,712.74x = 5,124.02 × 2,220.64
  4. Step 4: Simplify right side
    3,712.74x = 11,378,603.77
  5. Step 5: Solve for x
    x = 11,378,603.77/3,712.74
  6. Step 6: Final answer
    x = 3,064.75

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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.