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Finding the Fourth Proportional to 5,774.72, 8,673.80 and 5,096.72

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Solution

The fourth proportional to 5,774.72, 8,673.80 and 5,096.72 is: 7,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.72 : 8,673.80 = 5,096.72 : x
  2. Step 2: Convert to fraction form
    5,774.72/8,673.80 = 5,096.72/x
  3. Step 3: Cross multiply
    5,774.72x = 8,673.80 × 5,096.72
  4. Step 4: Simplify right side
    5,774.72x = 44,207,929.94
  5. Step 5: Solve for x
    x = 44,207,929.94/5,774.72
  6. Step 6: Final answer
    x = 7,655.42

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