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Finding the Fourth Proportional to 4,899.82, 6,746.88 and 4,342.54

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Solution

The fourth proportional to 4,899.82, 6,746.88 and 4,342.54 is: 5,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.82 : 6,746.88 = 4,342.54 : x
  2. Step 2: Convert to fraction form
    4,899.82/6,746.88 = 4,342.54/x
  3. Step 3: Cross multiply
    4,899.82x = 6,746.88 × 4,342.54
  4. Step 4: Simplify right side
    4,899.82x = 29,298,596.28
  5. Step 5: Solve for x
    x = 29,298,596.28/4,899.82
  6. Step 6: Final answer
    x = 5,979.53

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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.