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Finding the Fourth Proportional to 3,647.96, 5,472.88 and 2,089.76

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Solution

The fourth proportional to 3,647.96, 5,472.88 and 2,089.76 is: 3,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.96 : 5,472.88 = 2,089.76 : x
  2. Step 2: Convert to fraction form
    3,647.96/5,472.88 = 2,089.76/x
  3. Step 3: Cross multiply
    3,647.96x = 5,472.88 × 2,089.76
  4. Step 4: Simplify right side
    3,647.96x = 11,437,005.71
  5. Step 5: Solve for x
    x = 11,437,005.71/3,647.96
  6. Step 6: Final answer
    x = 3,135.18

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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.