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Finding the Fourth Proportional to 4,768.51, 6,580.56 and 2,672.64

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Solution

The fourth proportional to 4,768.51, 6,580.56 and 2,672.64 is: 3,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.51 : 6,580.56 = 2,672.64 : x
  2. Step 2: Convert to fraction form
    4,768.51/6,580.56 = 2,672.64/x
  3. Step 3: Cross multiply
    4,768.51x = 6,580.56 × 2,672.64
  4. Step 4: Simplify right side
    4,768.51x = 17,587,433.18
  5. Step 5: Solve for x
    x = 17,587,433.18/4,768.51
  6. Step 6: Final answer
    x = 3,688.24

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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.