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Finding the Fourth Proportional to 4,768.59, 6,576.10 and 3,649.57

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Solution

The fourth proportional to 4,768.59, 6,576.10 and 3,649.57 is: 5,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.59 : 6,576.10 = 3,649.57 : x
  2. Step 2: Convert to fraction form
    4,768.59/6,576.10 = 3,649.57/x
  3. Step 3: Cross multiply
    4,768.59x = 6,576.10 × 3,649.57
  4. Step 4: Simplify right side
    4,768.59x = 23,999,937.28
  5. Step 5: Solve for x
    x = 23,999,937.28/4,768.59
  6. Step 6: Final answer
    x = 5,032.92

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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.