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Finding the Fourth Proportional to 4,760.07, 6,569.12 and 2,664.20

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Solution

The fourth proportional to 4,760.07, 6,569.12 and 2,664.20 is: 3,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.07 : 6,569.12 = 2,664.20 : x
  2. Step 2: Convert to fraction form
    4,760.07/6,569.12 = 2,664.20/x
  3. Step 3: Cross multiply
    4,760.07x = 6,569.12 × 2,664.20
  4. Step 4: Simplify right side
    4,760.07x = 17,501,403.34
  5. Step 5: Solve for x
    x = 17,501,403.34/4,760.07
  6. Step 6: Final answer
    x = 3,676.71

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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.