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Finding the Fourth Proportional to 5,698.08, 8,549.68 and 3,097.12

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Solution

The fourth proportional to 5,698.08, 8,549.68 and 3,097.12 is: 4,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.08 : 8,549.68 = 3,097.12 : x
  2. Step 2: Convert to fraction form
    5,698.08/8,549.68 = 3,097.12/x
  3. Step 3: Cross multiply
    5,698.08x = 8,549.68 × 3,097.12
  4. Step 4: Simplify right side
    5,698.08x = 26,479,384.92
  5. Step 5: Solve for x
    x = 26,479,384.92/5,698.08
  6. Step 6: Final answer
    x = 4,647.07

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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.