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Finding the Fourth Proportional to 4,968.04, 6,854.58 and 3,201.94

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Solution

The fourth proportional to 4,968.04, 6,854.58 and 3,201.94 is: 4,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.04 : 6,854.58 = 3,201.94 : x
  2. Step 2: Convert to fraction form
    4,968.04/6,854.58 = 3,201.94/x
  3. Step 3: Cross multiply
    4,968.04x = 6,854.58 × 3,201.94
  4. Step 4: Simplify right side
    4,968.04x = 21,947,953.89
  5. Step 5: Solve for x
    x = 21,947,953.89/4,968.04
  6. Step 6: Final answer
    x = 4,417.83

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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.