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Finding the Fourth Proportional to 3,712.35, 5,124.35 and 2,297.13

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Solution

The fourth proportional to 3,712.35, 5,124.35 and 2,297.13 is: 3,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.35 : 5,124.35 = 2,297.13 : x
  2. Step 2: Convert to fraction form
    3,712.35/5,124.35 = 2,297.13/x
  3. Step 3: Cross multiply
    3,712.35x = 5,124.35 × 2,297.13
  4. Step 4: Simplify right side
    3,712.35x = 11,771,298.12
  5. Step 5: Solve for x
    x = 11,771,298.12/3,712.35
  6. Step 6: Final answer
    x = 3,170.85

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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.