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Finding the Fourth Proportional to 5,472.04, 8,206.86 and 1,575.60

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Solution

The fourth proportional to 5,472.04, 8,206.86 and 1,575.60 is: 2,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.04 : 8,206.86 = 1,575.60 : x
  2. Step 2: Convert to fraction form
    5,472.04/8,206.86 = 1,575.60/x
  3. Step 3: Cross multiply
    5,472.04x = 8,206.86 × 1,575.60
  4. Step 4: Simplify right side
    5,472.04x = 12,930,728.62
  5. Step 5: Solve for x
    x = 12,930,728.62/5,472.04
  6. Step 6: Final answer
    x = 2,363.05

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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.