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Finding the Fourth Proportional to 4,921.60, 6,792.32 and 4,768.64

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Solution

The fourth proportional to 4,921.60, 6,792.32 and 4,768.64 is: 6,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.60 : 6,792.32 = 4,768.64 : x
  2. Step 2: Convert to fraction form
    4,921.60/6,792.32 = 4,768.64/x
  3. Step 3: Cross multiply
    4,921.60x = 6,792.32 × 4,768.64
  4. Step 4: Simplify right side
    4,921.60x = 32,390,128.84
  5. Step 5: Solve for x
    x = 32,390,128.84/4,921.60
  6. Step 6: Final answer
    x = 6,581.22

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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.