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Finding the Fourth Proportional to 4,196.47, 5,791.59 and 2,428

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Solution

The fourth proportional to 4,196.47, 5,791.59 and 2,428 is: 3,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.47 : 5,791.59 = 2,428 : x
  2. Step 2: Convert to fraction form
    4,196.47/5,791.59 = 2,428/x
  3. Step 3: Cross multiply
    4,196.47x = 5,791.59 × 2,428
  4. Step 4: Simplify right side
    4,196.47x = 14,061,980.52
  5. Step 5: Solve for x
    x = 14,061,980.52/4,196.47
  6. Step 6: Final answer
    x = 3,350.91

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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.