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Finding the Fourth Proportional to 4,612.82, 6,368.76 and 3,548.68

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Solution

The fourth proportional to 4,612.82, 6,368.76 and 3,548.68 is: 4,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.82 : 6,368.76 = 3,548.68 : x
  2. Step 2: Convert to fraction form
    4,612.82/6,368.76 = 3,548.68/x
  3. Step 3: Cross multiply
    4,612.82x = 6,368.76 × 3,548.68
  4. Step 4: Simplify right side
    4,612.82x = 22,600,691.24
  5. Step 5: Solve for x
    x = 22,600,691.24/4,612.82
  6. Step 6: Final answer
    x = 4,899.54

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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.