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Finding the Fourth Proportional to 3,717.64, 5,130.13 and 2,145.63

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Solution

The fourth proportional to 3,717.64, 5,130.13 and 2,145.63 is: 2,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.64 : 5,130.13 = 2,145.63 : x
  2. Step 2: Convert to fraction form
    3,717.64/5,130.13 = 2,145.63/x
  3. Step 3: Cross multiply
    3,717.64x = 5,130.13 × 2,145.63
  4. Step 4: Simplify right side
    3,717.64x = 11,007,360.83
  5. Step 5: Solve for x
    x = 11,007,360.83/3,717.64
  6. Step 6: Final answer
    x = 2,960.85

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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.