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Finding the Fourth Proportional to 5,634.16, 7,772.76 and 3,771.76

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Solution

The fourth proportional to 5,634.16, 7,772.76 and 3,771.76 is: 5,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.16 : 7,772.76 = 3,771.76 : x
  2. Step 2: Convert to fraction form
    5,634.16/7,772.76 = 3,771.76/x
  3. Step 3: Cross multiply
    5,634.16x = 7,772.76 × 3,771.76
  4. Step 4: Simplify right side
    5,634.16x = 29,316,985.26
  5. Step 5: Solve for x
    x = 29,316,985.26/5,634.16
  6. Step 6: Final answer
    x = 5,203.43

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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.