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Finding the Fourth Proportional to 5,577.08, 7,696.16 and 3,337.64

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Solution

The fourth proportional to 5,577.08, 7,696.16 and 3,337.64 is: 4,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.08 : 7,696.16 = 3,337.64 : x
  2. Step 2: Convert to fraction form
    5,577.08/7,696.16 = 3,337.64/x
  3. Step 3: Cross multiply
    5,577.08x = 7,696.16 × 3,337.64
  4. Step 4: Simplify right side
    5,577.08x = 25,687,011.46
  5. Step 5: Solve for x
    x = 25,687,011.46/5,577.08
  6. Step 6: Final answer
    x = 4,605.82

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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.