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Finding the Fourth Proportional to 4,829.76, 6,666.32 and 2,968.32

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Solution

The fourth proportional to 4,829.76, 6,666.32 and 2,968.32 is: 4,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.76 : 6,666.32 = 2,968.32 : x
  2. Step 2: Convert to fraction form
    4,829.76/6,666.32 = 2,968.32/x
  3. Step 3: Cross multiply
    4,829.76x = 6,666.32 × 2,968.32
  4. Step 4: Simplify right side
    4,829.76x = 19,787,770.98
  5. Step 5: Solve for x
    x = 19,787,770.98/4,829.76
  6. Step 6: Final answer
    x = 4,097.05

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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.