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Finding the Fourth Proportional to 4,925.64, 6,797.34 and 2,829.80

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Solution

The fourth proportional to 4,925.64, 6,797.34 and 2,829.80 is: 3,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.64 : 6,797.34 = 2,829.80 : x
  2. Step 2: Convert to fraction form
    4,925.64/6,797.34 = 2,829.80/x
  3. Step 3: Cross multiply
    4,925.64x = 6,797.34 × 2,829.80
  4. Step 4: Simplify right side
    4,925.64x = 19,235,112.73
  5. Step 5: Solve for x
    x = 19,235,112.73/4,925.64
  6. Step 6: Final answer
    x = 3,905.10

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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.