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Finding the Fourth Proportional to 5,472.34, 8,210.33 and 1,774.69

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Solution

The fourth proportional to 5,472.34, 8,210.33 and 1,774.69 is: 2,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.34 : 8,210.33 = 1,774.69 : x
  2. Step 2: Convert to fraction form
    5,472.34/8,210.33 = 1,774.69/x
  3. Step 3: Cross multiply
    5,472.34x = 8,210.33 × 1,774.69
  4. Step 4: Simplify right side
    5,472.34x = 14,570,740.62
  5. Step 5: Solve for x
    x = 14,570,740.62/5,472.34
  6. Step 6: Final answer
    x = 2,662.62

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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.