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Finding the Fourth Proportional to 5,307.78, 7,956.19 and 1,796.64

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Solution

The fourth proportional to 5,307.78, 7,956.19 and 1,796.64 is: 2,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.78 : 7,956.19 = 1,796.64 : x
  2. Step 2: Convert to fraction form
    5,307.78/7,956.19 = 1,796.64/x
  3. Step 3: Cross multiply
    5,307.78x = 7,956.19 × 1,796.64
  4. Step 4: Simplify right side
    5,307.78x = 14,294,409.20
  5. Step 5: Solve for x
    x = 14,294,409.20/5,307.78
  6. Step 6: Final answer
    x = 2,693.11

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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.