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Finding the Fourth Proportional to 5,647.27, 8,472.12 and 1,698.20

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Solution

The fourth proportional to 5,647.27, 8,472.12 and 1,698.20 is: 2,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.27 : 8,472.12 = 1,698.20 : x
  2. Step 2: Convert to fraction form
    5,647.27/8,472.12 = 1,698.20/x
  3. Step 3: Cross multiply
    5,647.27x = 8,472.12 × 1,698.20
  4. Step 4: Simplify right side
    5,647.27x = 14,387,384.91
  5. Step 5: Solve for x
    x = 14,387,384.91/5,647.27
  6. Step 6: Final answer
    x = 2,547.67

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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.