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Finding the Fourth Proportional to 3,717.84, 5,130.76 and 2,062.16

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Solution

The fourth proportional to 3,717.84, 5,130.76 and 2,062.16 is: 2,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.84 : 5,130.76 = 2,062.16 : x
  2. Step 2: Convert to fraction form
    3,717.84/5,130.76 = 2,062.16/x
  3. Step 3: Cross multiply
    3,717.84x = 5,130.76 × 2,062.16
  4. Step 4: Simplify right side
    3,717.84x = 10,580,448.04
  5. Step 5: Solve for x
    x = 10,580,448.04/3,717.84
  6. Step 6: Final answer
    x = 2,845.86

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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.