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Finding the Fourth Proportional to 5,684.87, 7,848.99 and 3,561.28

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Solution

The fourth proportional to 5,684.87, 7,848.99 and 3,561.28 is: 4,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.87 : 7,848.99 = 3,561.28 : x
  2. Step 2: Convert to fraction form
    5,684.87/7,848.99 = 3,561.28/x
  3. Step 3: Cross multiply
    5,684.87x = 7,848.99 × 3,561.28
  4. Step 4: Simplify right side
    5,684.87x = 27,952,451.11
  5. Step 5: Solve for x
    x = 27,952,451.11/5,684.87
  6. Step 6: Final answer
    x = 4,916.99

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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.