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Finding the Fourth Proportional to 5,643.86, 7,787.80 and 3,253.93

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Solution

The fourth proportional to 5,643.86, 7,787.80 and 3,253.93 is: 4,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.86 : 7,787.80 = 3,253.93 : x
  2. Step 2: Convert to fraction form
    5,643.86/7,787.80 = 3,253.93/x
  3. Step 3: Cross multiply
    5,643.86x = 7,787.80 × 3,253.93
  4. Step 4: Simplify right side
    5,643.86x = 25,340,911.40
  5. Step 5: Solve for x
    x = 25,340,911.40/5,643.86
  6. Step 6: Final answer
    x = 4,489.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.