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Finding the Fourth Proportional to 5,577.77, 8,355.26 and 3,113.90

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Solution

The fourth proportional to 5,577.77, 8,355.26 and 3,113.90 is: 4,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.77 : 8,355.26 = 3,113.90 : x
  2. Step 2: Convert to fraction form
    5,577.77/8,355.26 = 3,113.90/x
  3. Step 3: Cross multiply
    5,577.77x = 8,355.26 × 3,113.90
  4. Step 4: Simplify right side
    5,577.77x = 26,017,418.10
  5. Step 5: Solve for x
    x = 26,017,418.10/5,577.77
  6. Step 6: Final answer
    x = 4,664.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.