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Finding the Fourth Proportional to 3,717.66, 5,130.62 and 2,145.86

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Solution

The fourth proportional to 3,717.66, 5,130.62 and 2,145.86 is: 2,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.66 : 5,130.62 = 2,145.86 : x
  2. Step 2: Convert to fraction form
    3,717.66/5,130.62 = 2,145.86/x
  3. Step 3: Cross multiply
    3,717.66x = 5,130.62 × 2,145.86
  4. Step 4: Simplify right side
    3,717.66x = 11,009,592.23
  5. Step 5: Solve for x
    x = 11,009,592.23/3,717.66
  6. Step 6: Final answer
    x = 2,961.43

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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.