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Finding the Fourth Proportional to 5,642.12, 7,787.40 and 3,284.84

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Solution

The fourth proportional to 5,642.12, 7,787.40 and 3,284.84 is: 4,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.12 : 7,787.40 = 3,284.84 : x
  2. Step 2: Convert to fraction form
    5,642.12/7,787.40 = 3,284.84/x
  3. Step 3: Cross multiply
    5,642.12x = 7,787.40 × 3,284.84
  4. Step 4: Simplify right side
    5,642.12x = 25,580,363.02
  5. Step 5: Solve for x
    x = 25,580,363.02/5,642.12
  6. Step 6: Final answer
    x = 4,533.82

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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.