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Finding the Fourth Proportional to 4,577.76, 6,317.32 and 2,809.32

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Solution

The fourth proportional to 4,577.76, 6,317.32 and 2,809.32 is: 3,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.76 : 6,317.32 = 2,809.32 : x
  2. Step 2: Convert to fraction form
    4,577.76/6,317.32 = 2,809.32/x
  3. Step 3: Cross multiply
    4,577.76x = 6,317.32 × 2,809.32
  4. Step 4: Simplify right side
    4,577.76x = 17,747,373.42
  5. Step 5: Solve for x
    x = 17,747,373.42/4,577.76
  6. Step 6: Final answer
    x = 3,876.87

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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.