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Finding the Fourth Proportional to 6,193.50, 8,547.06 and 3,399

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Solution

The fourth proportional to 6,193.50, 8,547.06 and 3,399 is: 4,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.50 : 8,547.06 = 3,399 : x
  2. Step 2: Convert to fraction form
    6,193.50/8,547.06 = 3,399/x
  3. Step 3: Cross multiply
    6,193.50x = 8,547.06 × 3,399
  4. Step 4: Simplify right side
    6,193.50x = 29,051,456.94
  5. Step 5: Solve for x
    x = 29,051,456.94/6,193.50
  6. Step 6: Final answer
    x = 4,690.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.