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Finding the Fourth Proportional to 5,673.30, 7,830.78 and 3,787.62

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Solution

The fourth proportional to 5,673.30, 7,830.78 and 3,787.62 is: 5,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.30 : 7,830.78 = 3,787.62 : x
  2. Step 2: Convert to fraction form
    5,673.30/7,830.78 = 3,787.62/x
  3. Step 3: Cross multiply
    5,673.30x = 7,830.78 × 3,787.62
  4. Step 4: Simplify right side
    5,673.30x = 29,660,018.94
  5. Step 5: Solve for x
    x = 29,660,018.94/5,673.30
  6. Step 6: Final answer
    x = 5,228.00

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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.